You are driving slowly in the right lane of a straight country road. For a while
ID: 1476373 • Letter: Y
Question
You are driving slowly in the right lane of a straight country road. For a while, a car to your left has lagged 49.0 m behind you at the same speed of 26.0 mi/h . Suddenly that car speeds up and passes you, traveling at a constant acceleration until it is 35.0 m in front of you 8.00 s later.
Determine the other car’s acceleration. (m/s^2)
How far did you travel during the passing procedure? (m)
How far did the other car travel during the passing procedure? (m)
What is the other car’s speed at the end of the passing procedure? (mph)
Explanation / Answer
let a is the acceleration
v = 26 mi/h
= 26*1.609*5/18
= 11.62 m/s
a) Apply, s = 0.5*a*t^2
(49 + 35) = 0.5*a*8^2
==> a = (49+35)*2/8^2
= 2.625 m/s^2
b) d = v*t
= 11.62*8
= 93 m
c) v2 = v1 + a*t
= 11.61 + 2.625*8
= 32.61 m/s
= 32.61*(18/5)*(1/1.609)
= 73 mph
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