Question Part Points Submissions Used A car sits in an entrance ramp to a freewa

Question

Question Part Points Submissions Used 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 40 m/s (89 mi/h) when it reaches the end of the 105 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 40 m/s. What distance does the traffic travel while the car is moving the length of the ramp? m

Explanation / Answer

(A) vi = 0

vf = 40 m/s and d = 105

Applying vf^2 - vi^2 = 2 a d

a = 7.62 m/s^2

(B) vf = vi + a t

40 = 0 + 7.62 t

t = 5.25 sec

(C) D = v t = 40 x 5.25 = 210 m

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