Answer:
Explanation:
Let the velocity of projectile be v and angle of throw be θ.
The projectile takes 5 s to touch the ground during which period it falls vertically by 100 m
considering its vertical displacement
h = - ut +1/2 g t²
100 = - vsinθ x 5 + .5 x 9.8 x 5²
5vsinθ = 222.5
vsinθ = 44.5
It covers 160 horizontally in 5 s
vcosθ x 5 = 160
v cosθ = 32
squaring and adding
v²sin²θ +v² cos²θ = 44.4² + 32²
v² = 1971.36 + 1024
v = 54.73 m /s
Answer:
55.42 m/s
Explanation:
Along the horizontal direction, the rock travels at constant speed: this means that its horizontal velocity is constant, and it is given by
u_x = d/t
Where
d = 160 m is the distance covered
t = 5.0 s is the time taken
Substituting, we get
u_x =160/5 = 32 m/s.
Along the vertical direction, the rock is in free-fall - so its motion is a uniform accelerated motion with constant acceleration g = -9.8 m/s^2 (downward). Therefore, the vertical distance covered is given by the
\(S=u_yt+\frac{1}{2}at^2\)
where
S = -100 m is the vertical displacement
u_y is the initial vertical velocity
Replacing t = 5.0 s and solving the equation for u_y, we find
-100 = u_y(5) + (-9.81)(5)^2/2
u_y = 45.25 m/s
Therefore, the speed with which the rock was thrown u
\(u= \sqrt{u_x^2+u_y^2} \\=\sqrt{32^2+45.25^2}\\ = 55.42 m/s\)
Explain the difference between the two models of the solar system.
Answer: The geocentric model says that the earth is at the center of the cosmos or universe, and the planets, the sun and the moon, and the stars circles around it. The early heliocentric models consider the sun as the center, and the planets revolve around the sun.
If we could build a spaceship capable of traveling at a speed near the speed of light, we could send a ship to a star that is 500 light-years away and it would return just a few years after we launched it.
If we could build a spaceship capable of traveling at a speed near the speed of light, passengers on the ship could make a journey to a star that is 500 light-years away within their lifetimes.
Because special relativity tells us that we cannot reach or exceed the speed of light, it means that distant stars will never be within our reach because the time required to reach them will always be quite long, even with fast spaceships.
Thanks to effects of special relativity, we could build a spaceship that could go close to the speed of light with much less fuel than we would have guessed from Newton's laws of motion.
According to the theory of special relativity, time and space are relative to the observer. This means that time can slow down and distances can shorten for an observer traveling at a speed close to the speed of light.
Therefore, if we could build a spaceship capable of traveling at a speed near the speed of light, we could send a ship to a star that is 500 light-years away and it would return just a few years after we launched it from the perspective of the passengers on the ship. However, for an observer on Earth, the journey would still take 500 years each way.
Similarly, passengers on the ship could make a journey to a star that is 500 light-years away within their lifetimes, even though the journey would still take 500 years from the perspective of an observer on Earth. This is because time slows down for the passengers on the ship as they approach the speed of light.
While special relativity does tell us that we cannot reach or exceed the speed of light, it also tells us that we can get close to the speed of light with much less fuel than we would have guessed from Newton's laws of motion. This is because the mass of an object increases as it approaches the speed of light, which means that it requires less fuel to accelerate it to a high speed.
In conclusion, the effects of special relativity would allow us to build a spaceship that could travel close to the speed of light and make journeys to distant stars within the lifetimes of the passengers on the ship. However, the journey would still take a long time from the perspective of an observer on Earth.
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Calculate how long it takes Neptune in earth years for one trip around the sun by using an average Sun-Neptune distance of 30 A.U. ( ) 0.735 earth years Show calculation: ( ) 1.84 earth years ( ) 3.37 earth years ( ) 164 earth years
Answer:
164 earth years
Explanation:
By Kepler's third law
r³/T² = constant
(30 A.U)³/T² = (1 A.U.)³/(1 earth year)²
so T = 30^1.5 = 164 earth years
Hydraulic systems utilize Bernoulli’s principle. T. F.
its FALSE
The answer is true, that the hydraulic press utilizes Bernoulli's principle.
It can be derived from the Principle of conservation of energy.
What is Bernoulli's Principle?According to Bernoulli's principle, which governs fluid dynamics, a fluid's speed increases concurrently with a reduction in pressure or potential energy. The mathematical concept is named after Swiss mathematician Daniel Bernoulli, who first published it in his book Hydrodynamics in 1738.
The venturi tube is a real-world example of Bernoulli's Principle in action. The venturi tube has an air intake that constricts to a throat and an exit segment that widens as it moves backward. The entrance and outflow both have the same diameter.
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Who is more precise when measuring the same 17.0 cm book
Answer:
yviygyigiyvyugyivyjvhjvhjbhkbhkbkubhkvykvyivyivukvukgukyirsrssea atrhcvgjvhjbhkvkhvhkbhkbk
Explanation:
hjvhkvkhbhkbjkbjjgkgkughkvhjhvhkvkcytdutxryssyeawqrwerrtyioolllk!mbv xxzaa12335678900_-+()
A positive point charge Q1
= 2.8×10−5 C
is fixed at the origin of coordinates, and a negative point charge Q2
= −5.4×10−6 C
is fixed to the x
axis at x=+2.0m.
Find the location of the place along the x
axis where the electric field due to these two charges is zero.
The x-axis point 2.202 m to the right of the origin is where the electric field caused by the two charges is zero.
A positive point charge is what?A positive line charge with a uniform density is separated by r0 from a positive point charge that has been released from rest. The speed v of the point charge is proportional to A as a function of the instantaneous separation r from the line charge (rr0)
The electric field caused by Q1 at a position along the x-axis is given by:
E1 = kQ1/x^2
Similar to that, the electric field caused by Q2 at a point on the x-axis is given by:
E2 = kQ2/(x - 2)^2
As a result, we must determine the value of x where:
E1 + E2 = 0
The result of substituting the values of E1 and E2 is:
kQ1/x^2 + kQ2/(x - 2)^2 = 0
Simplifying the equation, we get:
Q1/(4πε0x^2) + Q2/(4πε0(x - 2)^2) = 0
where ε0 is the permittivity of free space.
Substituting the given values of Q1 and Q2, we get:
(2.8×10−5)/(4πε0x^2) - (5.4×10−6)/(4πε0(x - 2)^2) = 0
Multiplying both sides by (4πε0x^2(x - 2)^2), we get:
(2.8×10−5)(x - 2)^2 - (5.4×10−6)x^2 = 0
Expanding the equation and simplifying, we get a quadratic equation in x:
2.8×10−5x^2 - 1.12×10−4x + 6.48×10−6 = 0
Solving this quadratic equation using the quadratic formula, we get:
x = 0.064 m or x = 2.202 m
The null point must be to the right of the positive point charge because the positive point charge is fixed at the origin. Hence, the null point is at x = 2.202 m.
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Lab Report
Light
It’s time to complete your Lab Report. Save the lab to your computer with the correct unit number, lab name, and your name at the end of the file name (e.g., U4_ Lab_Light_Alice_Jones.doc).
Introduction
1. What was the purpose of the experiment?
Type your answer here:
2. What were the independent, dependent, and control variables in your investigation? Describe the variables for each part of the experiment.
Type your answer here:
Experimental Methods
1. What tools did you use to collect your data?
Type your answer here:
2. Describe the procedure that you followed to collect your data.
Type your answer here:
Data and Observations
1. Record your observations in the data tables.
Type your answer here:
Table 1. Angles of Incidence and Angles of Reflection for a Beam of Light Reflected off a Mirror
Angle of incidence (°) Angle of reflection (°)
Table 2. Angles of Incidence and Angles of Refraction for a Beam of Light Refracted through a Glass Lens
Angle of incidence (°) Angle of refraction (°)
Conclusions
1. Draw a diagram (develop a model) that shows what happens to light when it reflects off a mirror. Look for patterns in your data to help you develop your model. Hint: Is the angle of reflection always greater than, less than, or equal to the angle of incidence? Include labels.
Type your answer here:
2. Use your model to predict the angle of reflection of a beam of light reflected off a mirror if the angle of incidence of the beam of light is 40 degrees.
Type your answer here:
3. Draw a diagram (develop a model) that shows what happens to light when it is refracted through a glass lens. Look for patterns in your data to help you develop your model. Hint: Is the angle of refraction always greater than, less than, or equal to the angle of incidence? Include labels.
Type your answer here:
Answer:
Explanation:
the answer is b
Use the graph to answer the following questions.
Answer:
8a = 20. 8b=4
Explanation:
Distance is total amount the object moved. It went from 10, to -2 which is 12 meters away, then to 6 which is 8, adding 8 and 12 is 20 so that is the distance. Displacement is how far it is relative to the starting position, so 10 and 6 are 4 meters away, therefore displacement is 4.
Hope I helped : )
Which statement describes a situation with a displacement of zero check all tha apply
A small oil droplet is sprayed between the plates of a parallel plate capacitor. The droplet has a net charge equal to that of 3 electrons and feels a total force equal to 9.6 x 10-15 N. What is the electric fieldbetween the plates of the parallel plate capacitor
Answer:
…..
Explanation:
give brainiest
In the experiment, the pressure of the gas is 1.2 x10^5 Pa at a temperature of 25.0°C.
When the cylinder is heated, the pressure reaches 2.1x10 Pa. Calculate the
temperature of the gas (in "C) at this pressure.
The temperature of the gas (in °C) at this pressure is 248.5 °C
Temperature is a bodily quantity that expresses the hotness of count or radiation. There are 3 kinds of temperature scales. Temperature is the degree of hotness or coldness of an item.
Temperature is a degree of the common kinetic energy of the debris in an object. whilst the temperature increases, the motion of those particles also increases. Temperature is measured with a thermometer or calorimeter.
Given;
P₁ = 1.2 x10⁵ Pa = 1.18430792
T₁ = 25.0°C = 298 K
P₂ = 2.1x10 Pa = 0.000207253886
T₂ = ?
using ideal gas equaion:-
PV = nRT
P₁/T₁ = P₂/T₂
T₂ = P₂T₁ /P₁
= 2.1x10⁵ x 298 / 1.2 x10⁵
= 521.5 K
= 248.5 °C
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As rotational speed increases, thrust____?
increases exponentially.
increases at the same rate.
decreases exponentially.
decreases at the same rate
what happens to the state of a variable if it goes through a two series connected NOT gate.
PIUDICITIS CONSECulvely and Circle your aliswers. Lilyo
proper significant digits.
53. When you turn on your CD player, the turntable accelerates from zero to 41.8 rad/s in
3.0 s. What is the angular acceleration?
or
Answer:
The angular acceleration of CD player is \(13.93\ rad/s^2\).
Explanation:
Initial angular speed of a CD player is 0 and final angular speed is 41.8 rad/s. Time to change the angular speed is 3 s.
It is required to find the angular acceleration. The change in angular speed of the CD player divided by time taken is called its angular acceleration. It can be given by :
\(a=\dfrac{\omega_f-\omega_i}{t}\\\\a=\dfrac{41.8-0}{3}\\\\a=13.94\ rad/s^2\)
So, the angular acceleration of CD player is \(13.93\ rad/s^2\).
A lead block is suspended by means of a string from the underside of a 8.00 kg block of wood of density of 696 kg/m3. If the upper surface of the wood is just level with the water, what is the tension in the string?(The density of lead is 11340 kg/m3)
Answer:
Tension of rope T = 35.16 N
Explanation:
Given:
Mass of block = 8 kg
Wood of density = 696 kg/m³
Density of lead = 11,340 kg/m³
Find:
Tension in the string
Computation:
Volume of wood = Mass of block / Wood of density
Volume of wood = 8 / 696
Using Archimedes law
Mw + M = (Vw + V) 1,000
8/1,000 + 11,340v = (Vw + V) 1,000
V = 3.47 x 10⁻⁴
Tension of rope T
T = v (11,340 - 1,000)9.8 N
T = (3.47 x 10⁻⁴)(11,340 - 1,000)9.8 N
Tension of rope T = 35.16 N
If the upper surface of the wood is just level with the water, the tension in the string is 34.2 Newton.
Mass of block of wood; \(m_w = 8.00kg\)
Density of wood; \(\delta _w = 696 kg/m^3\)
Density of lead; \(\delta _{Ld} = 11340 kg/m^3\)
Density of water; \(\delta _{water} = 1000kg/m^3\)
First we determine the volume of wood:
\(v_w = \frac{mass}{density} = \frac{m_w}{\delta w} = \frac{8.00kg}{696kg/m^3}\\\\v_w = 0.01149m^3\)
Now, using Archimedes principle:
Buoyancy force is determined using the equation:
\(F_b = V * \delta * g\)
Where:
\(F_b\) is the buoyancy force acting on the objectV is the submerged volume of the object\(\delta\) is the density of the fluid the object is submerged in( Density of water; \(\delta _{water} = 1000kg/m^3\))g is the force of gravity( \(9.8m/s^2\))We substitute our values into the equation
\(F_b = 0.01149m^3\ *\ 1000kg/m^3 * 9.8m/s^2\\\\F_b = 112.602 kg.m/s^2\\\\F_b = 112.602N\)
Now, buoyancy force \(F_b\) = Weight + Tension
\(F_b = mg + T\\\\T = F_b - mg\)
We substitute in our values
\(T = 112.602N - ( 8kg * 9.8m/s^2)\\\\T = 112.602N - 78.4kgm/s^2\\\\T = 112.602N - 78.4N\\\\T = 34.2N\)
Therefore, if the upper surface of the wood is just level with the water, the tension in the string is 34.2 Newton.
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A horse is tied with a long rope at a pole. What distance will the horse run around the pole with rope tightly stretched, if it takes one and a half round?
Answer:
The horse will run a distance of 1.5 times the length of the rope around the pole with the rope tightly stretched.
Explanation:
The distance the horse will run around the pole with the rope tightly stretched can be calculated using the formula for the circumference of a circle:
Circumference = 2 × π × radius
Since the horse takes one and a half rounds, we need to multiply the circumference by 1.5 to get the total distance the horse runs around the pole.
Let's assume that the length of the rope is the radius of the circle, and the horse is tied at the center.
Therefore, the distance the horse will run around the pole with the rope tightly stretched is:
Distance = 1.5 × 2 × π × radius
Since the horse is tied with a long rope, we need to use the length of the rope as the radius of the circle.
Let's assume that the length of the rope is 'L'. Then the radius of the circle is equal to L/2π.
Substituting this value in the formula, we get:
Distance = 1.5 × 2 × π × (L/2π)
Simplifying the expression, we get:
Distance = 1.5 × L
Therefore, the horse will run a distance of 1.5 times the length of the rope around the pole with the rope tightly stretched.
A motor requires 400 joules of energy to lift a 5.0 kg mass 2.0 meters. Calculate the efficiency of this motor.
Answer:
25%
Explanation:
use F=mg
then use the answer you get from that and plug it into W=Fxh
take that answer and divide it by 400 J and multiply by 100
round to sig figs
This force will cause the path of the particle to curve. Therefore, at a later time, the direction of the force will ____________. This force will cause the path of the particle to curve. Therefore, at a later time, the direction of the force will ____________. have a component along the direction of motion remain perpendicular to the direction of motion have a component against the direction of motion first have a component along the direction of motion; then against it; then along it; etc.
Answer:
have a component along the direction of motion that remains perpendicular to the direction of motion
Explanation:
In this exercise you are asked to enter which sentence is correct, let's start by writing Newton's second law.
circular movement
F = m a
a = v² / r
F = m v²/R
where the force is perpendicular to the velocity, all the force is used to change the direction of the velocity
in linear motion
F = m a
where the force is parallel to the acceleration of the body, the total force is used to change the modulus of the velocity
the correct answer is: have a component along the direction of motion that remains perpendicular to the direction of motion
A 1. 50 kg book is sliding along a rough horizontal surface. At point a it is moving at 3. 21 m/s , and at point b it has slowed to 1. 25 m/s.
A) The work done on the book between points A and B is 5.32 J in the direction opposite to the book's motion.
B) The book is moving at 1.91 m/s at point C.
C) If +0.750 J of work was done on the book from point B to point C, the book would be moving at 2.31 m/s at point C.
(a) To find the work done on the book between points A and B, we need to use the work-energy principle, which states that the net work done on an object is equal to its change in kinetic energy:
Net work done = change in kinetic energy
The change in kinetic energy can be found by subtracting the initial kinetic energy at point A from the final kinetic energy at point B:
change in kinetic energy = (1/2)mvB^2 - (1/2)mvA^2
where m is the mass of the book, vA is the velocity of the book at point A, and vB is the velocity of the book at point B.
Substituting the given values, we get:
change in kinetic energy = (1/2)(1.50 kg)(1.25 m/s)^2 - (1/2)(1.50 kg)(3.21 m/s)^2
= -5.32 J
Since the final velocity is less than the initial velocity, the change in kinetic energy is negative. Therefore, the net work done on the book between points A and B is also negative. The magnitude of the net work done is:
|net work done| = |-5.32 J| = 5.32 J
Therefore, the work done on the book between points A and B is 5.32 J in the direction opposite to the book's motion.
(b) Since -0.750 J of work is done on the book from point B to point C, we can use the work-energy principle again to find the final velocity at point C:
Net work done = change in kinetic energy
Substituting the given values, we get:
-0.750 J = (1/2)(1.50 kg)(vC^2 - 1.25^2 m/s^2)
Solving for vC, we get:
vC = 1.91 m/s
Therefore, the book is moving at 1.91 m/s at point C.
(c) If +0.750 J of work was done on the book from point B to point C, we would have:
0.750 J = (1/2)(1.50 kg)(vC^2 - 1.25^2 m/s^2)
Solving for vC, we get:
vC = 2.31 m/s
Therefore, if +0.750 J of work was done on the book from point B to point C, the book would be moving at 2.31 m/s at point C.
The given question is incomplete, the complete question is
A 1.50-kg book is sliding along a rough horizontal surface. at point a it is moving at 3.21 m>s, and at point b it has slowed to 1.25 m>s. (a) how much work was done on the book between a and b? (b) if -0.750 j of work is done on the book from b to c, how fast is it moving at point c? (c) how fast would it be moving at c if +0.750 j of work was done on it from b to c?
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have a difinite shape and do not easily take the shape of their containers
If an elevator accelerates upward at 10 ms−2 , what is the average blood pressure in the brain? What is the average blood pressure in the feet? If the elevator accelerates downward with the same acceleration, what is the average blood pressure in the brain and feet? take g = 10
The average blood pressure in the brain will be higher than the average blood pressure in the feet. the average blood pressure in the brain will be lower than the average blood pressure in the feet.
When the elevator accelerates upward at \(10 ms^{-2}\), the blood pressure in the brain and feet of a person changes.
Similarly, when the elevator accelerates downward with the same acceleration, the blood pressure in the brain and feet of a person changes.
Let's discuss them one by one:Blood Pressure When Elevator Accelerates Upward at \(10 ms^{-2}\)
When the elevator accelerates upward at \(10 ms^{-2}\), the blood pressure in the brain of a person increases, while the blood pressure in the feet of a person decreases.
This happens due to the gravitational force acting on the body.
Since the gravitational force on the head is greater than the gravitational force on the feet, the blood pressure in the brain increases while the blood pressure in the feet decreases.
Therefore, the average blood pressure in the brain will be higher than the average blood pressure in the feet.
Blood Pressure When Elevator Accelerates Downward at \(10 ms^{-2}\) When the elevator accelerates downward at \(10 ms^{-2}\), the blood pressure in the brain of a person decreases, while the blood pressure in the feet of a person increases.
This also happens due to the gravitational force acting on the body. Since the gravitational force on the head is less than the gravitational force on the feet, the blood pressure in the brain decreases while the blood pressure in the feet increases.
Therefore, the average blood pressure in the brain will be lower than the average blood pressure in the feet.
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Please help me out, I need someone helpful enough.
How many sig figs are in 0.00357
How many sig figs are in 0.0009239
How many sig figs are in 0.0037930
How many sig figs are in 0.93938900
Answers:
Question 1: 3 sig figs
Question 2: 4 sig figs
Question 3: 5 sig figs
Question 4: 8 sig figs
The rule for sig figs:
Any number after a zero in a decimal is one sig fig.
Example: 0.00359, it has three sig figs.
Also, remember if there are zeros after a number greater than zero, it is also a sig fig as well.
Hope this helps you!
Answer:
1) 3 sf 2) 3 sf 3) 5 sf 4) 6 sf
Explanation:
00s at the start dont count towards the sig figs and 00s at the end dont either but 00s in the middle do
your welcome :)
A ball is moving up a hill at 20 meters per second, and is decelerating at a uniform rate of 2 meters per second squared. What is its velocity after 5 seconds? Assume the direction up the hill is positive.
Answer:
-12meters per secondExplanation:
2^5=32-20=-12 meters per sec (going backwards).
If this is correct pls mark me. brainly to let me know, tyy C:
A wind turbine transfers energy from __________ energy stores. What one word completes the sentence?
A wind turbine transfers kinetic energy to mechanical energy from energy stores, which is then used to generate electricity.
What is wind energy?Wind energy is a type of renewable source of energy that can be used for converting it into electrical energy by the use of turbines that transform mechanical energy into electricity, which is then used for different purposes (both industrial and particular home usage).
Therefore, with this data, we can see that wind energy can be used to generate electricity by means of turbines that convert mechanical energy into electricity.
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a surfer talks about riding a 20-foot wave. Which measurement of waves is the surfer describing?
frequency
amplitude
wavelength
speed
60 POINTS!!
Answer:
C. Amplitude
Explanation: Amplitude is the maximum displacement from the equilibrium of a wave. Basically the height.
The sum of two point charges is -15µC. They attract each other with a force of 9 x 10-2 N when kept 5m apart. Find their charges.
According to the question the two charges are -7.5 µC and -7.5 µC.
What is charges?Charges are fees or payments for services or goods. Charges can be one-time payments, recurring payments, or fees associated with using a product or service. Charges can be for products, services, or activities. Examples of charges include fees for using a credit card, fees for using a bank account, fees for renting a car, fees for using a mobile phone plan, fees for using a subscription service, fees for using a streaming service, and fees for using a gym membership.
Let the two charges be x and ( -15 - x ) µC.
According to Coulomb's law,
F = (k × x × ( -15 - x ))/r2
Where k is the Coulomb's constant,
k = 9 × 109 N × m2/C2
Given, F = 9 × 10-2 N
r = 5 m
Substituting these values in the equation,
9 × 10-2 = (9 × 109 × x × ( -15 - x ))/252
⇒ x2+ 15x - 4.5 × 10-4 = 0
Solving this equation,
x = -7.5 µC and ( -15 - x ) = -7.5 µC
Therefore, the two charges are -7.5 µC and -7.5 µC.
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A raft has a mass of 152 kg. When a
person stands on it, the raft displaces
0.224 m3 of water. What is the mass
of the person?
[?] kg
Answer:
72 kg
Explanation:
The computation of the mass of the person is shown below:
As we know that
Water displaced weight = Raft weight + person weight
P_w.V = M_r + M_p
where
P_w denotes the water density i.e. 1000 kg/m^3
V denotes the volume of the water in m^3
Now
1000 × 0.224 = 152 + M_p
M_p = 224 - 152
= 72 kg
A teacher wants to determine how well students can discuss ways in which related concepts differ. Which of the following is most appropriate for this objective?
Group of answer choices
True-false
Matching
Multiple choice
Short essay
Short essay is most appropriate for this objective because it allows
students to discuss ways in which related concepts differ in their own
words. True-false, matching, and multiple choice formats do not
typically provide as much opportunity for in-depth discussion.
A cannonball is shot from the top of a
47.8 m high hill at a speed of 53.7 m/s.
How fast is it going when it reaches
the plain below?
Answer:
61.8
Explanation:
It must be going at a speed of 61.81 m/s when it reaches the plain below
What are kinematic equations?
The kinematic equations are a set of equations that describe the motion of an object with constant acceleration. Kinematics equations require knowledge of derivatives, rate of change, and integrals.
using Kinematics equations
\(v^{2}\) = \(u^{2}\) + 2gs ( a = g)
= \((53.7)^{2}\) + 2 * 9.8 * 47.8 m
v = 61.81 m/s
It must be going at a speed of 61.81 m/s when it reaches the plain below
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consider the graph at the right. the object whose motion is represented by this graph is…
Here, the slope of the graph is negative and constant.
Hence, acceleration is constant and is in opposite direction to its motion.
So, The object whose motion is represented by this graph is moving with constant acceleration.
Motion is defined in physics as the phenomenon through which an object changes its location with respect to time. Motion is mathematically characterized in terms of displacement, distance, velocity, acceleration, speed, and frame of reference to an observer, with the change in position of the body relative to that frame measured as time passes. Kinematics is the branch of physics that studies forces and their effects on motion, whereas dynamics is the branch that studies forces and their effects on motion.
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