Question

A bus starting from rest moves with a uniform acceleration of 0.1 m s^-2 for 2 minutes. Find

1. the speed acquired
2. the distance travelled.

Answer 1

(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.

∴ a = `(v-u)/t`

0.1 = `(v-0)/120`

∴ 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

The speed acquired by the bus is 12 m/s.

The distance travelled by the bus is 720 m.