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Question 1

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

Answer

(a) Initial speed of the bus, u = 0 

Acceleration, a = 0.1 m/s2

Time taken, t = 2 minutes = 60 x 2 = 120 s

Let v be the final speed acquired by the bus.

  v = u + at = 0 + 0.1 x 120 = 12 m/s

The speed acquired by the bus is 12 m/s

(b) According to the equation of motion:

 v2 = u2 + 2as

v2u2 = 2as

(12)2 - (0)2 =2(0.1)s

144 = 0.2 s

s = 144 / 0.2

s = 720 m 

Distance travelled by the bus is 720 m.

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