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Question 1
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.

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Solution

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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