Question
Asked Oct 4, 2019
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Your favorite car goes zero to 60 mph in 3.5 seconds. Assuming it accelerates uniformly, sketch a velocity versus time graph of the motion. Two significant figures, the car travels ___ miles in 3.5 seconds. 

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Expert Answer

Step 1

Assume car to be travelling in straight line. Let u be the car’s initial velocity, v be the car’s final velocity and a be the car’s acceleration. Use kinematics first equation to calculate the acceleration of the car as,

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V = u +at V-u a= t 0.447 m/s {(60 mph)-(0 mph) 1 mph a (3.5 s) a 7.66 m/s2

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Step 2

Since, the acceleration is constant, the velocity-time curve is a straight line. It passes...

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80 60 40 20 3.5 3 4 2 1 t (s) v (mph)

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