Entering the Freeway. A car sits in an entrance ramp to a freeway, waiting for a

Question

Entering the Freeway. A car sits in an entrance ramp to a freeway, waiting for a break in the traffic. The driver 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 15 m/s (34 mi/h) when it reaches the end of the 125 m long ramp.
(a) What is the acceleration of the car?
m/s2

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

(c) The traffic on the freeway is moving at a constant speed of 15 m/s. What distance does the traffic travel while the car is moving the length of the ramp?
m

Explanation / Answer

(a) What is the acceleration of the car? we know that v^2 = 2as ==> a = v^2/2s = 15^2 / 2 * 125 = 1.80 m/s^2 (b) How much time does it take the car to travel the length of the ramp? t = v/a = 15 / 1.8 = 8.333 s (c) The traffic on the freeway is moving at a constant speed of 15 m/s. What distance does the traffic travel while the car is moving the length of the ramp? D =v * t = 15 * 8.333 = 125 m

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