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A car and a truck are both travelling with a constant speed of 20 m/s. The...

A car and a truck are both travelling with a constant speed of 20 m/s. The car is 10 m behind the truck. The truck driver suddenly applies his brakes, causing the truck to decelerate at a constant rate of 2 m/s^2. Two seconds later, the driver of the car applies his brakes and just manages to avoid a rear-end collision. Determine the constant rate at which the car decelerated.

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