The car is traveling at a constant speed of 30 m/s. The driver then applies the brakes

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The car is traveling at a constant speed of 30 m/s. The driver then applies the brakes at A and thereby reduces the speed at the rate of

where t is in seconds. Determine the magnitude of the acceleration of the car just before it reaches point C on the circular curve. It takes 15 s for the car to travel from A to C.

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