A car is traveling at a constant velocity of magnitude when the driver notices a

Question

A car is traveling at a constant velocity of magnitude 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 . A time 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?
Express your answer in terms of some or all of the variables d, t, V.

The answer :
-v^2/(2(d-vt)) derived from s- d-vt is incorrect.

Explanation / Answer

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)

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