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A car is moving at a speed of 60 m/s, when the driver applies the brakes, which causes a deceleration of 2 m/s2. How many seconds will it take for the car to stop and how far will it travel till it stops

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Answer: 30s, 900m

Explanation: once the break is applied, the car will decelerate and the car will come to rest.

Since the car is coming to rest, final velocity (v) equals zero.

Hence u = 60 m/s, a = - 2m/s²

Recall that v = u + at

0 = 60 +( - 2)t

2t = 60, t = 60 /2 = 30s.

To get the distance covered before the car comes to rest, we have the formulae below

v² = u² + 2as

0² = 60² + 2(-2)s

0 = 3600 - 4s

4s = 3600

s = 3600/ 4 = 900m

User Robin Chander
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