A car is traveling at a constant velocity of magnitude v0 when the driver notices a garbage can on the road in front of him. at that moment, the distance between the garbage can and the front of the car is

d. a time t after noticing the garbage can, the driver applies the brakes and slows down at a constant rate before coming to a halt just before the garbage can. what is the magnitude of the car's acceleration after the brakes are applied?

Question

Physics

Liberty Long

25 June, 08:05

A car is traveling at a constant velocity of magnitude v0 when the driver notices a garbage can on the road in front of him. at that moment, the distance between the garbage can and the front of the car is

d. a time t after noticing the garbage can, the driver applies the brakes and slows down at a constant rate before coming to a halt just before the garbage can. what is the magnitude of the car's acceleration after the brakes are applied?

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Answers (1)

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Amari Anthony · Answer 1

Total distance travelled by the car is 'd'

distance trveled before the brakes were applied = v_o * t

distance travld with brakes = d - v_o*t

applying the formula: v^2 - u^2 = - 2 a * s

=> 0 - v_o^2 = - 2 * a_x * (d - v_o*t)

=> a_x = (v_o^2) / (2 (d-v_o*t)