A race car starts from rest and accelerates uniformly to a speed of 40 m/s in 8.0 seconds. How far will the car travel during the 8 seconds?

1 Answer
David G.
Jan 14, 2016

There are two steps to this problem: finding the acceleration and then the distance. The distance covered is #160 m#.

Explanation:

First use the formula #v = u + at# to calculate the acceleration. The initial velocity, #u#, is #0 ms^-1#, and we are given the final velocity #v = 40 ms^-1# and the time taken, #t=8s#.

Rearranging, #a = v/t = 40/8 = 5ms^-2#

To find the distance travelled, use the formula #d = ut + 1/2at^2#

The initial velocity is still #0 ms^-1#, so

#d = 1/2at^2 = 1/2*5*8^2 = 160 m#

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