Answers
We know that the acceleration is defined as:
\(a=\frac{dv}{dt}\)This means that if we know the acceleration we can find the velocity with the integral:
\(v=\int ^t_{t_0}adt^{\prime}+v_0\)where t0 denotes some intial time and v0 the velocity at that time.
In this case we know that the acceleration is 4m/s^2 and that at time t=1 the velocity is 4 m/s, then we have:
\(\begin{gathered} v=\int ^t_14dt^{\prime}+4 \\ =4(t^{\prime})\vert^t_1+4 \\ =4(t-1)+4 \\ =4t-4+4 \\ =4t \end{gathered}\)hence the velocity function for this motion is:
\(v=4t\)Now, we know that the velocity is defined by:
\(v=\frac{dx}{dt}\)then the position can be obtained by:
\(x=\int ^t_{t_0}vdt^{\prime}+x_0\)where t0 is some time and x0 is the position at that time; in this case we don't have an initial position for the particle then te position will be given by:
\(\begin{gathered} x=\int ^t_{t_0}4t^{\prime}dt^{\prime}+x_0 \\ x=4(\frac{t^{\prime2}}{2})\vert^t_{t0}+x_0 \\ x=4(\frac{t^2}{2}-\frac{t^2_0}{2})+x_0 \\ x=2t^2-2t^2_0+x_0 \end{gathered}\)Hence the position at any given time is given by:
\(x=2t^2-2t^2_0+x_0\)Once we know the position function we can calculate the area undert the position time graph in the interval given:
\(\begin{gathered} \int ^3_1(2t^2-2t^2_0+x_0)dt=(\frac{2}{3}t^3+(x_0-2t^2_0)t)\vert^3_1 \\ =\frac{2}{3}(3^3-1^3)+(x_0-2t^2_0)(3^{}-1^{}) \\ =\frac{2}{3}(27-1)+(x_0-2t^2_0)(2) \\ =\frac{2}{3}(26)+(x_0-2t^2_0)(2) \\ =\frac{52}{3}+2(x_0-2t^2_0) \end{gathered}\)Therefore, in general, the area under the curve in the given interval is:
\(\frac{52}{3}+2(x_0-2t^2_0)\)If we assume that the particle was at the origin at time t0=0 (this meas x0=0 as well), then the area under the position-time graph will be:
\(\frac{52}{3}+2(0-2(0)^2)=\frac{52}{3}\)Note: No matter what the intial time and position is the expression we found will give us the correct answer.
Related Questions
what is the area of velocity time graph
Answers
What are fitness assessments designed to do?
diagnose medical conditions
screen for risk of heart disease
treat injuries
identify specific injuries
Answers
Answer: Fitness assessments are designed to screen for risk of heart disease.
Explanation:
Fitness assessments are medical examinations that are designed to measure a person's physical fitness and identify any health risks they may have. These assessments may include tests of strength, endurance, flexibility, and cardiovascular fitness. One of the primary objectives of a fitness assessment is to screen for the risk of heart disease, which is a major health concern that can be prevented or treated through exercise and other lifestyle changes. While fitness assessments may identify specific injuries or medical conditions, their primary focus is on evaluating a person's overall health and fitness.
A box of mass m=10.0 kg, initially at rest, is pushed by a constant horizontal force of F=25.0 N for a distance d=10.0 m before reaching the bottom of a hill. The force stops and the box slides up the hill of height h=2.0 m. It hits a spring which compresses by an amount x=2.5 meters before the box stops.a) What is the speed of the box before it climbs up the hill?b) What is the spring constant?
Answers
a)
Since the force of 25 N is applied by a distance of 10 meters, we can calculate the work done:
\(\begin{gathered} W=F\cdot d \\ W=25\cdot10 \\ W=250\text{ N} \end{gathered}\)Then, if all the energy is kinetic energy, we can calculate the box speed:
\(\begin{gathered} E_k=\frac{mv^2}{2} \\ 250=\frac{10\cdot v^2}{2} \\ 5v^2=250 \\ v^2=50 \\ v=7.07\text{ m/s} \end{gathered}\)b)
The box slides up the hill, so part of the energy is now potential energy:
\(\begin{gathered} E_p=m\cdot g\cdot h \\ E_p=10\cdot9.8\cdot2 \\ E_p=196\text{ J} \end{gathered}\)The remaining kinetic energy (250 - 196 = 54 J) will be converted into elastic potential energy of the spring:
\(\begin{gathered} E_{ep}=\frac{1}{2}kx^2 \\ 54=\frac{1}{2}\cdot k\cdot2.5^2 \\ 6.25k=108 \\ k=17.28\text{ N/m} \end{gathered}\)A toy helicopter with a mass of 20 kg experiences a gravitational force of 200 N. (a) What is the resultant force on the toy helicopter if it is ascending with a constant speed of 5 ms ¹? (b) What is the force acting on the helicopter if the rotor suddenly stops working? (c) What will happen to the helicopter in (b)?
Answers
(a) The resultant force on the toy helicopter if it is ascending with a constant speed of 5 m/s is zero.
(b) The force acting on the helicopter if the rotor suddenly stops working is 200N.
(c) In (b), if the rotor suddenly stops working, the helicopter will fall downward due to the force of gravity. If there is no other force to oppose the force of gravity, the helicopter will accelerate downward at a rate of approximately 9.81 m/s².
(a) The resultant force on the toy helicopter if it is ascending with a constant speed of 5 m/s is zero. The force of gravity, which is 200 N, is equal in magnitude and opposite in direction to the force of the toy helicopter exerting on the air to ascend with a constant speed of 5 m/s. Therefore, the resultant force is zero.
(b) The force acting on the helicopter if the rotor suddenly stops working is 200 N, which is equal in magnitude and opposite in direction to the force of the toy helicopter exerting on the air. When the rotor suddenly stops working, there is no longer a force to keep the toy helicopter in the air. The force of gravity then takes over, causing the helicopter to fall downward at an increasing speed due to the acceleration due to gravity, which is approximately 9.81 m/s².
(c) In (b), if the rotor suddenly stops working, the helicopter will fall downward due to the force of gravity. If there is no other force to oppose the force of gravity, the helicopter will accelerate downward at a rate of approximately 9.81 m/s². This acceleration due to gravity will cause the speed of the helicopter to increase as it falls. Without any means of propulsion or control, the helicopter will continue to fall downward until it reaches the ground or collides with an object.
For more such questions on force, click on:
https://brainly.com/question/12785175
#SPJ8
What is sound waves
Answers
Sound waves are a type of mechanical wave that propagate through a medium, typically air but also other materials such as water or solids.
Characteristics of sound wavesFrequency: the frequency of a sound wave refers to the number of cycles or vibrations it completes per second and is measured in Hertz (Hz).
Amplitude: the amplitude of a sound wave refers to the maximum displacement or intensity of the wave from its equilibrium position. It represents the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds and smaller amplitudes corresponding to softer sounds.
Wavelength: the wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, such as from one peak to the next or one trough to the next. It is inversely related to the frequency of the wave.
Learn more about sound waves at
https://brainly.com/question/1199084
#SPJ1
A cart is pulled by a rope making an angle of 45° to the horizontal. If 100 newtons of force are applied to the rope, the magnitude of the horizontal component force is approximately
Answers
Answer:
the answer is 100sin45°
Explanation:
F=100N
0=45°
component to the horizontal so we say 90°-45°=45°
magnitude of component =100sin45°
In an inertial system S, an event is observed to take place at point A on the x-axis and 10^-6 s later another event takes place at point B, 900 m further down. Find the magnitude and direction of the velocity of S' with respect to S in which these two events appear simultaneous.
Answers
The magnitude of the velocity of S' with respect to S is therefore approximately \(9 * 10^(11)\)m/s. then the magnitude is approximately\(9 * 10^(11)\) m/s.
the velocity of the system S' with respect to S as v. Since the two events are simultaneous in the system S', they must have the same time coordinate in that system. Let's call this time coordinate t' and the position of the two events in the S' system as (x1', t') and (x2', t').
Using the Lorentz transformation equations, we can relate the coordinates (x1, t1) and (x2, t2) in the S system to the coordinates (x1', t') and (x2', t') in the S' system:
x1' = γ(x1 - vt1)
t' = γ(t1 - vx1/\(c^2\))
x2' = γ(x2 - vt2)
t' = γ(t2 - \(vx2/c^2\))
where γ = 1/√(1 - \(v^2/c^2\)) is the Lorentz factor.
Since the two events are separated by 900 m and a time interval of 10^-6 s, we have:
x2 - x1 = 900 m
t2 - t1 = \(10^-6\) s
Using the above equations, we can solve for v. First, we can eliminate t' by equating the two expressions for t':
γ(t1 - vx1/\(c^2\)) = γ(t2 - vx2/\(c^2\))
Simplifying this expression, we get:
v =\(c^2\)(x2 - x1)/(t2 - t1)(x1 + x2)
Plugging in the given values, we get:
v = c^2(900 m)/(\(10^-6\) s)(0 m + 900 m) = 9 × \(10^11\) m/s
Learn more about magnitude here:
https://brainly.com/question/14452091
#SPJ1
Which correctly describes latent heat?
A. The heat of molecules that are under pressure
B. The heat held inside of ice crystals colder than -2°C
C. The heat absorbed or lost by a substance while it's changing state
D. The heat used to change the temperature of a liquid
Answers
Option C. The heat absorbed or lost by a substance while it's changing state correctly describes latent heat
Latent heat is the heat absorbed or lost by a substance while it is changing state.
The latent heat is a type of heat that is transferred during phase change, i.e., while a substance undergoes a change of state.
For example, when ice melts into liquid water, or when liquid water evaporates into water vapor, heat is absorbed from the surroundings.
Latent heat is not associated with a temperature change; rather, it's associated with a change of state.
For instance, the temperature of water remains at 100°C while boiling.
When water is boiling, the latent heat of vaporization is absorbed and utilized to break the hydrogen bonds holding water molecules together to change water from the liquid phase to the gaseous phase.
When the water is boiling, adding more heat won't increase the water's temperature, instead, the extra heat will be absorbed to change the phase of water molecules.
Therefore, the correct answer to the given question is option C: The heat absorbed or lost by a substance while it is changing state.
For more questions on latent heat
https://brainly.com/question/10765874
#SPJ8
A hollow ball weighs 40 newtons. In a water tank, it displaces 15 newtons of water. What is the buoyant force on the ball? Will the ball float or sink? Explain your reasoning.
Answers
Answer:
25N
it will float since the water displaced is less than the weight. buoyancy = 25n down
Explanation:
40 newtons - 25 newtons = 25 newtons
The buoyant force on the ball is 25 Newton and the ball will float.
From the information given, we're informed that a hollow ball weighs 40 newtons and a water tank displaces 15 newtons of water.
Therefore, the buoyant force on the ball will be:
= 40N - 15N = 25N
Since we got a positive value, it means that the ball will float on water.
Read related link on:
https://brainly.com/question/25594887
A dolphin swims 56 meters in 8 seconds and a walrus swims 30 meters in 6 seconds. Which is one has the faster speed, the dophin or the
walrus?
Speed distance/time
I’m taking a test someone help pls.!
Answers
Answer:
dolphin= 7 meters/1 second walrus= 5 meters/1 second
Explanation:
56 divided by 8 is 7
30 diviided by 6 is 5
creating a system to effectively solve problems can help you out in many ways. what are some benefits you would like to see in your own life as you begin to apply the 4 step problem solving process you read about this week
Answers
Creating a system to effectively solve problems is important as it helps an individual or organization to accomplish the goals and objectives.
The 4 step problem solving process is an important approach for effective problem-solving.The 4 step problem solving process involves the following steps:Identifying the problemGathering information and analyzing the problemIdentifying possible solutionsEvaluating and selecting the best solution to the problem.Some of the benefits that one would like to see in their own life as they begin to apply the 4 step problem solving process are as follows:1. Better decision-making skills: The 4 step problem solving process helps individuals to make better decisions in their personal and professional lives. The process helps an individual to evaluate all possible solutions before choosing the best solution to the problem.2. Effective time management: The 4 step problem solving process helps an individual to solve problems quickly and efficiently, leading to effective time management. It helps an individual to focus on the important aspects of the problem and make quick decisions.3. Improved communication: The 4 step problem solving process involves gathering information, analyzing the problem, and identifying solutions. It also involves communicating with others to get more information or to help evaluate solutions.
Effective communication skills are important in this process, and this can be improved through practicing the 4 step problem solving process.4. Improved problem-solving skills: The 4 step problem solving process helps individuals to develop better problem-solving skills, which is important in both personal and professional life. It helps an individual to think critically and creatively to identify the best possible solutions to a problem. This skill can be useful in various situations, including work, school, and personal relationships.
for such more questions on objectives
https://brainly.com/question/30931908
#SPJ8
What is the world ? B
Answers
Answer:
World B. FreeAmerican professional basketball player
World B. Free is a retired American professional basketball player who played in the National Basketball Association from 1975 to 1988. Free was known as the "Prince of Mid-Air", "Brownsville Bomber", and most often as "All-World".Explanation:
sana makatulong ^^ (hope it helps)
The velocity time graph of an object mass 50 g is shown in figure study graph and answer
1)calculate force acting on object in time interval 0-3 seconds
2)calculate the force acting on the object in the time interval 6-10 seconds
3)Is there any time interval in which no force acts on object.Justify
Answers
1) The force acting on the object during the time interval 0-3 seconds is 1/3 N.
2) The force acting on the object during the time interval 6-10 seconds is -0.5 N.
3) There is no time interval in which no force acts on the object.
(i) Force acting on the object in time interval 0-3 seconds. Force acting on the object is equal to the product of its mass and acceleration, i.e.,F = ma.
In the given velocity-time graph, the acceleration of the object can be determined by determining the slope of the velocity-time graph from 0 to 3 seconds.
Slope = (change in velocity) / (change in time)= (20-0) / (3-0) = 20/3 m/s^2
Acceleration, a = slope= 20/3 m/s^2
Mass of the object, m = 50 g = 0.05 kg
∴ Force acting on the object, F = ma= 0.05 × 20/3= 1/3 N.
Therefore, the force acting on the object during the time interval 0-3 seconds is 1/3 N.
(ii) Force acting on the object in time interval 6-10 seconds. Similar to the first question, the force acting on the object in time interval 6-10 seconds can be determined by determining the acceleration of the object during this time interval.
The slope of the velocity-time graph from 6 seconds to 10 seconds can be determined as follows:
Slope = (change in velocity) / (change in time)= (-20-20) / (10-6) = -40/4= -10 m/s^2 (negative sign indicates that the object is decelerating)
Mass of the object, m = 50 g = 0.05 kg
∴ Force acting on the object, F = ma= 0.05 × (-10)= -0.5 N.
Therefore, the force acting on the object during the time interval 6-10 seconds is -0.5 N.
(iii) Time interval in which no force acts on the object. There is no time interval in which no force acts on the object. This is because, as per Newton's first law of motion, an object will continue to remain in a state of rest or uniform motion along a straight line unless acted upon by an external unbalanced force.In other words, if the object is moving with a constant velocity, there must be a force acting on the object to maintain its motion.
Therefore, there is no time interval in which no force acts on the object.
For more such questions on force, click on:
https://brainly.com/question/12785175
#SPJ8
A car starts at a position of 1 km and moves to a final position of -3 km. What is the total distance traveled by the car?
Answers
The total distance covered by the car is 4 kilometers, this is because we are taking into account displacement and not just distance.
What is displacement?Displacement is defined as the change in the position of an object while distance is an object's overall movement in a directionless fashion.
There are many different units that can be used to measure distance (inches, feet, miles, kilometers, and centimeters), but the meter is the SI unit. It is a scalar amount because it does not consider
On the number line, we can see the movement as follows
1 0 -1 -2 -3= 4km
Distance is always positive and never gets smaller as you move. Displacement can be negative, positive, or zero because it refers to the change in the position of an object with respect to its original location.
Learn more about displacement here:
https://brainly.com/question/14422259
#SPJ!
pleaseee help:
Which group of objects refract light energy?
a Lens, prism and mirror
b Lens, prism, and passing through water
c Shiny object, lens and mirror
d Mirror, lens, and passing through water
Answers
Answer:
Option B
Explanation:
in all the 3 light moves from rarer medium to denser medium, so obviously experience refraction!!
Answer:
The answer is A
Explanation:
im pretty sure its A because i did it in class
1. A rich merchant finds himself stranded in the middle of a frozen lake. Don't ask how he got there. Think Twilight Zone... The surface
is perfectly frictionless. All he has is his clothing and a large bag of gold coins. How can he save himself? Write down your answer.
2. You are hammering a nail into a hard piece of wood. You are using one of your little brothers light, toy hammers and getting nowhere fast. Finally, you grab a hammer with a heavier head and your task goes much easier. Which one of Newtons laws did you finally remember? explain.
Answers
2. The hammering experience is a demonstration of Newton's Second Law of motion, which states that the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. The heavier hammer has a greater mass, which means that it requires more force to accelerate it. When the heavier hammer is swung, it applies more force to the nail, allowing it to drive into the wood more easily.
2. The law that you finally remembered is Newton's second law of motion, which states that the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. The toy hammer has a lighter head and therefore applies less force to the nail, resulting in less acceleration. The heavier hammer has a heavier head and applies more force to the nail, resulting in greater acceleration and making the task easier.
The graph shows the force and displacement of an object that is being pushed. How much work is done to push the object 0.12m?
Answers
Answer:
Work done, W = 0.72 J
Explanation:
From the given graph, it is clear that the force applied is 6 N if the extension is 0.12 m.
Work done is given by :
W = Fx
\(W=6\ N\times 0.12\ m\\\\W=0.72\ J\)
So, 0.72 J of work is done to push the object 0.12 m
The figure shows a cube resting on top of a table . If the table rotates and moves the cube in a counterclockwise circle at a constant speed , describe the direction of the acceleration experienced by the cube .
Answers
Answer:
Forwarded
Explanation:
A skydiver is using wind to land on a target that is 120 m away horizontally. The skydiver starts from a height of 70 m and is falling vertically at a constant velocity of 7.0 m/s downward with their parachute open (terminal velocity). A horizontal gust of wind helps push them towards the target. What must be their total speed if they want to just hit their target
Answers
Answer:
13.9 m/s.
Explanation:
Since the vertical velocity of the skydiver is constant at v = 7.0 m/s, we find the time, t it takes him to drop from a height of h = 70 m.
So, distance = velocity time
h = vt
t = h/v = 70 m/7 m/s = 10 s
This is also the time it takes him to move horizontally a distance of d = 120 m to the target.
So, his horizontal velocity is v' = distance/time = d/t = 120m/10 s = 12 m/s.
Since both vertical and horizontal velocities are perpendicular, we add them vectorially to obtain the skydivers total speed, V.
So, V = √(v² + v'²)
= √((7.0 m/s)² + (12.0 m/s)'²)
= √(49 m²/s² + 144 m²/s²)
= √(193 m²/s²)
= 13.9 m/s.
The direction of this velocity is Ф = tan⁻¹(v/v')
= tan⁻¹(7 m/s/12 m/s)
= tan⁻¹(0.5833)
= 30.3°
what does Conosive mean?
Answers
Answer: adjective. having the quality of corroding or eating away; erosive. harmful or destructive; deleterious: the corrosive effect of poverty on their marriage. sharply sarcastic; caustic: corrosive comments on the speaker's integrity.
Explanation:
helpp tyy
Which of the following is a way to make magnets?
heating
freezing
pressure
Answers
heating or pressing but heating is most appropriate, so the answer is heating.
A 5 kW, 230 V motor draws a current of 24 A from the supply. Determine the efficiency of this motor.
Answers
The efficiency of motor is 90.58%.To determine the efficiency of the motor, we need to calculate the input power and the output power, and then divide the output power by the input power
The input power can be calculated using the formula:
Input Power = Voltage × Current
Given that the voltage is 230 V and the current is 24 A, we have:
Input Power = 230 V × 24 A
Input Power = 5520 W (or 5.52 kW)
The output power of the motor is given as 5 kW (since it is a 5 kW motor).
Now, we can calculate the efficiency:
Efficiency = (Output Power / Input Power) × 100%
Efficiency = (5 kW / 5.52 kW) × 100%
Efficiency ≈ 90.58%
Therefore, the efficiency of this motor is approximately 90.58%.
For more such questions on efficiency.
https://brainly.com/question/29339898
#SPJ8
Consider 5.00 mol of liquid water. (a) What volume is occupied by this amount of water? The molar mass of water is 18.0 g/mol. (b) Imagine the molecules to be, on average, uniformly spaced, with each molecule at the center of a sma11 cube. What is the length of an edge of each sma11 cube if adjacent cubes touch but don't overlap? (c) How does this distance compare with the diameter of a molecule?
Answers
This question involves the concepts of density, volume, and mass.
(a) The volume occupied by this amount of water is "90 m³".
(b) The length of an edge of each small cube is "83 μm".
(c) The length of the edge of each small cube is "equal" to the diameter of a molecule.
(a)
The volume can be found using the following formula:
\(V = \frac{nM}{\rho}\)
where,
V = volume occoupied = ?
n = no. of moles = 5 mol
M = molar mass = 18 g/mol
\(\rho\) = density of water = 1 g/m³
Therefore,
\(V=\frac{(5\ mol)(18\ g/mol)}{1\ g/m^3}\\\\\)
V = 90 m³
(b)
First, we will find the volume of an individual molecule:
\(V_i =\frac{V}{nN_A}\)
where,
\(N_A\) = Avogadro's number = 6.02 x 10²³ molecules/mol
Therefore,
\(V_i=\frac{90\ m^3}{5\ mol(6.02\ x\ 10^{23}\ molecules/mol)}\)
Vi = 3 x 10⁻²³ m³
This volume can be given as a volume of the sphere:
\(V_i=\frac{4}{3}\pi r^3\\\\r=\sqrt[3]{\frac{3(3\ x\ 10^{-23}\ m^3)}{4\pi}}\)
r = 4.15 x 10⁻⁷ m
Diameter = d = 2r = 2(4.15 x 10⁻⁷ m)
d = 8.3 x 10⁻⁷ m = 83 μm
since the cubes are adjacent to each other. Therefore, the diameter will be equal to the edge length.
Edge Length = L = d
L = 8.3 x 10⁻⁷ m = 83 μm
(c)
The edge length is equal to the diameter of the molecule.
Learn more about density here:
https://brainly.com/question/24386693?referrer=searchResults
A car is moving with speed 30 m/s and acceleration 6 m/s2 at a given instant. Using a second-degree Taylor polynomial, estimate how far the car moves in the next second.
Answers
Answer:
\(33\; {\rm m}\).
Explanation:
Let for positive integer \(n\), let \(f^{(n)}(x)\) denote the \(n\)th derivative of \(f(x)\) at \(x\).
The \(n\)th order Taylor polynomial expansion of \(f(x)\) at \(x_{0}\) could be written in the form:
\(\begin{aligned}f(x_{0}) + \sum\limits_{j = 1}^{n} \left[\frac{1}{j!}\, \left(f^{(j)}(x_{0})\right)\, (x - x_{0})^{j}\right]\end{aligned}\).
For example, when \(n = 2\), the polynomial would include three terms:
\(f(x_{0})\),\(\begin{aligned}\left(f^{(1)}(x_{0})\right)\, (x - x_{0})\end{aligned}\) (for \(j = 1\),) and\(\displaystyle \frac{1}{2}\left(f^{(2)}(x) \right)\, (x - x_{0})^{2}\) (for \(j = 2\).)\(\begin{aligned}f(x_{0}) + \left(f^{(1)}(x_{0})\right)\, (x - x_{0}) + \frac{1}{2}\left(f^{(2)}(x) \right)\, (x - x_{0})^{2}\end{aligned}\).
Let \(f(t)\) denote the distance that this vehicle travelled at time \(t\).
The first derivative \(f^{(1)}(t)\) would denote the speed of the vehicle at time \(t\).The second derivative \(f^{(2)}(t)\) would denote the acceleration of the vehicle at time \(t\).At \(t_{0} = 0\), the distance that the vehicle travelled would be \(0\). The question states that:
The speed of the vehicle at \(t_{0} = 0\) was \(f^{(1)}(t_{0}) = 30\).The acceleration of the vehicle at \(t_{0} = 0\) was \(f^{(2)}(t_{0}) = 6\).The second-degree Taylor polynomial expansion of \(f(t)\) at \(t_{0} = 0\) would be:
\(\begin{aligned}& f(t_{0}) + \left(f^{(1)}(t_{0})\right)\, (t - t_{0}) + \frac{1}{2}\left(f^{(2)}(t_{0}) \right)\, (t - t_{0})^{2} \\ =\; & f(0) + \left(f^{(1)}(0)\right)\, (t - 0) + \frac{1}{2}\left(f^{(2)}(0) \right)\, (t - 0)^{2} \\ =\; & f(0) + \left(f^{(1)}(0)\right) \, t + \frac{1}{2}\left(f^{(2)}(0) \right) \, t \end{aligned}\).
Substituting in \(f(0) = 0\), \(f^{(1)}(0) = 30\), and \(f^{(2)}(0) = 6\), the polynomial estimate of \(f(1)\) at \(t_{0} = 0\) would be:
\(\begin{aligned} & 0 + 30 + \frac{1}{2} \times 6 \\ =\; & 33\end{aligned}\).
For example, we can take Water
In (A) Water has same mass and great volume
In (B) Water has same mass and lower volume
Will there be any change in its density then?
Answers
Answer:
yes there will be change in its density
A man running at a speed of 12 m/s grabs a rope and swings upward. What is the maximum height he could reach?
Answers
Answer:
7.2 m
Explanation:
In this scenario, the man possesses kinetic energy as he is in motion.
⇒ KE = 1/2mv²
His potential energy will be equal to the kinetic energy as per the law of conservation of energy.
So, 1/2mv² = mgh [potential energy]
⇒ v²/2 = gh
⇒ h = v²/2g
⇒ h = (12)²/2(10)
⇒ h = 144/20
⇒ h = 7.2 m
Atom A donates an electron to atom B. Both atoms are now...
Question 7 options:
Useful
Metallic
Safe
Charged
Answers
Answer:
Charged
Explanation:
When an atoms loses or gains electrons they become charged(ion)
When an atom loses electrons it becomes positively charged and it is called a Cation
When an atom gains electrons it becomes negatively charged and it is called an Anion
What is an ellipse?
a plane that slices between orbits
an oval-shaped orbit
a circular orbit
the center of gravity between orbiting objects
Answers
Answer:
i think it's C thx correct me if wrong
In Figure (a), both batteries have em - 1.20 V and the external resistance R is a variable resistor. Figure (6) gives the electric potentials V between the terminals of each battery as functions of
Curve 1 corresponds to battery 1, and curve 2 corresponds to battery 2. The horizontal scale is set by R, -0.500 . What is the internal resistance of (a) battery 1 and (b) battery 2?
0.60
V(V)
0
-0.350
(
R(0)
(6)
Answers
Answer:
i know da way ese'
Explanation:
Miguel sprained his knee during a basketball game. His doctor will most likely ask Miguel to get _____.
an X-ray
a CAT scan
an MRI
a CT scan
Answers
Answer:
His doctor would most likely ask miguel to get an MRI