A car is travelling at

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

40\,\text{m\,s}^{-1}

. The driver first applies the brakes lightly so that the car experiences a uniform retardation of

3\,\text{m\,s}^{-2}

for

5\,\text{s}

. Immediately afterwards, the brakes are pressed harder and the retardation becomes

6\,\text{m\,s}^{-2}

until the car stops. Calculate the total distance covered from the instant the brakes were first applied till the car comes to rest.