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 17.0 when it reaches the end of the ramp, which has length 114 .

What is the acceleration of the car?
How much time does it take the car to travel the length of the ramp?
The traffic on the freeway is moving at a constant speed of 17.0 . What distance does the traffic travel while the car is moving the length of the ramp?

Explanation / Answer

Your answers are both right for the acceleration and the time To get the distance the traffic travels use distance traveled = speed x time [because the traffic speed is constant] so distance traveled by the traffic = 23.0 m/s x 10.4 s = 240 m [I used the full calculator answer from the time calc ... but if you use the rounded 10.4 it's 239 m (to 3 sig figs)]

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