A bus starting from rest moves with a uniform acceleration of 0.1 ms-2 for 2 minutes. Find:
(a) The speed acquired.
(b) The distance travelled.
(a) The speed acquired:
Given,
Initial speed, u = 0 (As it starts from rest)
Final speed, v =?
Acceleration, a = 0.1 m/s2
Time, t = 2 minutes
= 2 × 60 seconds
= 120 s
Final velocity, v = 0 + 0.1 × 120
= 12 m/s
Therefore, the speed acquired by the bus is 12 m/s
(b) The distance travelled:
We know that,
Distance travelled, s = ut +at2
= 0 × 120 + × 0.1 × (120)2
= 0 + × 0.1 × 14400
= 720 m
Therefore, the distance travelled by the bus is 720 metres