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.
(a) Initial speed of the bus, u = 0 (since the bus is initially at rest)
Acceleration, a = 0.1 m/s2
Time taken, t = 2 minutes = 120 s
Let v be the final speed acquired by the bus.
`therefore a =(v-u)/t`
∴v = 12 m/s
(b) According to the third equation of motion:
v2 − u2 = 2as
Where, s is the distance covered by the bus
(12)2 − (0)2 = 2(0.1) s
s = 720 m
Speed acquired by the bus is 12 m/s.
Distance travelled by the bus is 720 m.