Physics

Physics

Problem

A truck starts from rest at station

A

, accelerates uniformly at

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

for

t

seconds, then moves with the speed reached for

60\,\text{s}

, and finally comes to rest at station

B

by decelerating uniformly at

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

. If the distance between

A

and

B

is

3.6\,\text{km}

, find the value of

t

. a)

18\,\text{s}

b)

22\,\text{s}

c)

20\,\text{s}

d)

40\,\text{s}

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