Question

a) While entering a freeway, a car accelerates from a speed of 20.0 m/s at a...

a) While entering a freeway, a car accelerates from a speed of 20.0 m/s at a rate of 2.51 m/s2 for 6.00 s. How far does the car travel in those 6.00 s? (To solve this part, first identify the unknown, and then discuss how you chose the appropriate equation to solve for it. After choosing the equation, show your steps in solving for the unknown, check your units, and discuss whether the answer is reasonable.)

b) What is the car’s final velocity? Solve for this unknown in the same manner as in the previous part, showing all steps explicitly.

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Answer #1

The distance traveled by the car is

where u is the initial speed u = 20 m/s

a is the acceleration and t is the time

a = 2.51 m/s2

t = 6 s

Therefore

The answer is reasonable because it is more than what the car would travel for 6 s at a constant speed of 20 m/s.

b) The car's final velocity is

The answer is reasonable because the final speed is more than the initial speed

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