Using the kinematic equation:

$\overline{){\mathbf{\Delta}}{\mathbf{x}}{\mathbf{=}}{{\mathbf{v}}}_{{\mathbf{0}}}{\mathbf{t}}{\mathbf{+}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{a}}{{\mathbf{t}}}^{{\mathbf{2}}}}$

At constant velocity, a = 0 m/s^{2}

Δx = d_{1} = v_{0}t

A car is traveling at a constant velocity of magnitude V_{0} 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. At 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? FIND THE MAGNITUDE OF THE ACCELERATION OF THE CAR AFTER THE BRAKES ARE APPLIED. Express your answer in terms of some variables.

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