A car sits in an entrance ramp to a freeway, waiting for a break in the traffic.

Question

A car sits in an entrance ramp to a freeway, waiting for a break in the traffic. The driver sees a small gap between a van and an 18-wheel truck and accelerates with constant acceleration along the ramp and onto the freeway. The car starts from rest, moves in a straight line, and has a speed of 19.0m/s when it reaches the end of the ramp, which has length 117m .

b) How much time does it take the car to travel the length of the ramp?

c) The traffic on the freeway is moving at a constant speed of 19.0m/s . What distance does the traffic travel while the car is moving the length of the ramp?

Explanation / Answer

19 = 0 + at

117 = 0 + 0.5a t^2

or 117 = 0.5 (19/t) t^2

or 117 = 0.5 (19) (t)

so t = 12.31 sec

when traffic at constant velocity then

s = 19 x 12.31

= 234 m

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