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Question

A bus starting from rest moves with a uniform acceleration of 0.1 ms2 for 2 minutes. Find
(a) the speed acquired, (b) the distance travelled.

A
12 ms1 , 700 m
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B
12 ms1 , 720 m
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C
10 ms1 , 700 m
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D
10 ms1 , 720 m
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Solution

The correct option is B 12 ms1 , 720 m
Given,
initial speed of the bus, u=0,
acceleration, a=0.1 ms2
and time taken, t=2 minutes=2×60=120 s

Let v be the final velocity and s be the distance covered.
(a) From the first equation of motion,v=u+at,
v=0+(0.1×120)
v=12 ms1

(b) According to the third equation of motion, v2u2=2as
(12)2(0)2=2×0.1×s
s=720 m
Speed acquired by the bus is 12 ms1 and the distance travelled is 720 m.

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