Acar starts from rest and travels for 5.0 s with a uniform acceleration of +1.5m/s². the driver then applies the brakes, causing a uniform acceleration of -2.0 m/s². if the brakes are applied for 3.0 s, (a) how fast is the car going at the end of the braking period, and (b) how far has the car gone?

Part a)

Part b)

Explanation:

Part a)

Initial speed of the car = 0

acceleration of the car = 1.5 m/s^2

now at the end of t = 5 s the final speed of the car is given as

now after this car apply brakes which produce deceleration

so we have

time to during which deceleration is applied is given by

now we have

Part b)

distance moved by car during the period of acceleration of the car is given as

Now while car is decelerating then the distance moved by the car is given as

now total distance moved by the car

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