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A car of mass M moves with an initial speed v0 on a straight horizontal road....

A car of mass M moves with an initial speed v0 on a straight horizontal road.

The car is brought to rest by braking in such a way that the speed of the car is given as a function of time (t) by v=( v0^2 -Rt/M) ^1/2 where R is a constant.

a. Develop an equation that expresses the time rate of change of kinetic energy.

b. Determine the time it takes to bring the car to a complete stop.

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