Problem 2.37: Entering the freeway. A car sits in an entrance ramp to a freeway,

Question

Problem 2.37: Entering the freeway. 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 18.0 m/s when it reaches the end of the ramp, which has length 130 m. Part A: What is the acceleration of the car? Part B:How much time does it take the car to travel the length of the ramp? Part C: The traffic on the freeway is moving at a constant speed of 18.0 m/s . What distance does the traffic travel while the car is moving the length of the ramp? **PLEASE SHOW STEPS**

Explanation / Answer

from V^2-U^2 = 2*a*s u=0 (initial velocity) v=18m/s s=130m substituting we get a=1.246m/s^2 b)time taken can be calculated from v-u = a*t we get t=14.446sec c)as the traffic is moving with a constant speed distance travelled = v*t = 18*14.446=260.028mts

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