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 21.0 m/s when it reaches the end of the ramp, which has length 121 m.

Part A- What is the acceleration of the car? (units in m/s2)

Part B- How much time does it take the car to travel the length of the ramp? (units in s)

Part C- The traffic on the freeway is moving at a constant speed of 21.0 m/s . What distance does the traffic travel while the car is moving the length of the ramp? (units in m)

Explanation / Answer

PART (A) car has a constant speed

=> acceleration = 0 m/s^2

PART (B) time taken by car = length of the ramp / speed = 121/21

=> t = 5.761 sec

PART (C) distance travelled = speed*time = 21.0*5.761 = 121 m

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