A driver traveling north slows down from 31.9 m/s to 0 m/s in 6.5 seconds. What is the magnitude of the driver's acceleration? The standard units for acceleration are "meters per second-squared" or "meters per second per second" and it's written as

Q: The coordinate of an object is given as a function of time by x = 4t² − 3t³, where x is in meters…

A: Solution: Determine the velocity of the object by differentiating the position of object with…

Q: A horse canters away from its trainer in a straight line, moving 45 m away in 8.7 s. It then turns…

A:

Q: elocity decreases linearly from 45 m/s to 0 m/s. 101 m 225 m 150 m 112 m

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Q: The data represented in the velocity vs. time graph below is from a car traveling along a flat…

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Q: Based on the velocity and time graph given  how far does the object move in the interval from t=0…

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Q: The graph shows the speed of a car as a function of time. speed (m/s) 6 5 3 2 1 0 3 time (s) What is…

A: Given The given graph of speed vs time shown below.

Q: a person walks at 4.5 meters per second from point a to b. Then walks back from point b to a at a…

A: Given data:  From point a to b Speed (V1) = 4.5 m/s From point b to a Speed (V2) = 3.2 m/s Required:…

Q: A vehicle travels on a straight stretch of road. Its position coordinate x (km) measured from a…

A: Given data The position coordinate is x = 4t3+21t2+18t+4 The duration of travelling is t = 1 hr   On…

Q: 9. A car is traveling on the highway at a constant speed of 24m/s. The driver misses the posted…

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Q: An object is moving in the air (defying gravity) so that its height after t seconds is given by…

A:

Q: In m/s?, what is the acceleration when t = 7.5 sec? Express your answer as an integer, not as a…

A: The acceleration at a time in velocity-time graph represents the at that time.

Q: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

Q: A car is traveling at 40 mph on a straight road. The driver applies the brakes for 3 sec, producing…

A: initial velocity u= 40mph =17.88m/s duration of brake applied t = 3sec deceleration a = -5.5ft/sec2=…

Q: The figure shows a graph of the velocity of an object as a function of time. What is the…

A: Acceleration = 20/2 = 10  ms-2  Equation  x = ut + (1/2)at2 x = 0×t + (1/2)at2 x = (1/2)at2  x =…

Q: Problem 1: An object is thrown straight up with an initial velocity of 17 m/s. Part (a) How high…

A: The given data are as follows:  The object is thrown straight up. The initial velocity, u = 17 m/s

Q: Nerve impulses in the human body travel at a speed of about 100 ms-1. A 1.6m tall man accidentally…

A: Given data The speed of the nerve is given as v = 100 m/s. The height of the man is given as h =…

Q: he velocity vx (in m/s) of an object is given by the equation vx = 4t + 3, where t is the time in…

A: Equation of velocity of object is; vx=4t+3 Part A: Displacement of object is calculated by…

Q: In a half marathon (13.1 miles), one runner finishes with a speed of 6.5 miles/hour and another…

A: Given data Distance traveled, D=13.1 miles Speed of runner one, s1=6.5 miles/hour Speed of runner…

Q: While driving south on hwy 400, Jim gets stuck travelling at 1.9 m/s behind a slow truck. He finally…

A:

Q: In this graph of displacement versus time, what is the average velocity in going from point B to…

A: Average velocity = (final position - initial position)/time taken  Final position (point J) =1m…

Q: A rock is dropped (from rest) from the top of a 73.9-m-tall building. How far above the ground is…

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Q: Crash acceleration. A car crashes head on into a wall and stops, with the front collapsing by 0.500…

A: 1 miles = 1600 m 1 hours = 3600 sec Distance S = 0.5 m Final velocity in both cases =0

Q: The cheetah is considered the fastest running animal in the world. Cheetahs can accelerate to a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A kicker kicks a football upward from the ground at an initial velocity of 63 feet per second. The…

A: Given: u=63ft/s, d=70ft (a) The trajectory of the football is found by : h=ut+12gt2 At the highest…

Q: Your favorite car goes zero to 60.0 mph in 5.00 seconds. Assuming it accelerates uniformly, sketch a…

A: Assume car to be travelling in straight line. Let u be the car’s initial velocity, v be the car’s…

Q: This is the velocity vs time graph. I would like to see how the position vs time graph will look…

A: As the given v vs t graph look like a sin/ cos wave function.  Let guess the  velocity as a function…

Q: A block falls from rest off a building that is y = 185 m tall

A: y=185 mUsing Newton's Law of motion initial velocity μ=0y=ut+12gt2185=0+129.8t2to=6.14 second

Q: I have an unusual question. I am getting confused with my graphs. I completed a few graphs and one…

A: Displacement-time graphs demonstrate how a moving object's displacement changes over time. In a…

Q: The velocity as a function of time for a world-class track sprinter in a 100 m race is shown in the…

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Q: 1 4. The plot below shows the velocity of a hockey puck as a function of time. The puck starts at…

A: We are given velocity versus time graph. We draw position vs time and acceleration vs time graph by…

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –