A car is moving at and needs to cover a straight stretch of road

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A car is moving at

12\,\text{m/s}

and needs to cover a straight

100\,\text{m}

stretch of road. The driver accelerates uniformly at

2\,\text{m/s}^{2}

for the first

3\,\text{s}

and then maintains the speed reached for the rest of the distance. What is the total time taken to cover the

100\,\text{m}

? (a)

5.66\,\text{s}

(b)

8.1\,\text{s}

(c)

6.1\,\text{s}

(d)

6.67\,\text{s}

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