Question

A bus starting from rest moves with a uniform acceleration of 0.1ms ^–2 for 2 minutes. Find 

(a) the speed acquired, 

(b) the distance travelled.

Answer 1

Answer 1: 

Here we have, 

Initial velocity (u) = 0 m/s 

Acceleration (a) = 0.1ms^–2 

Time (t) = 2 minute = 120 seconds 

(a) The speed acquired: 

We know that, v = u + at 

⇒ v = 0 + 0.1 × 120 m/s 

⇒ v = 12 m/s

Thus, the bus will acquire a speed of 12 m/s after 2 minute with the given acceleration.

(b) The distance travelled: 

We know that, s = ut + 1/ 2 at2 

= 0 × 120 + 1 /2 × 0.1 × (120)² 

= 1/ 2 × 0.1 ×14400 m = 720 m 

Thus, bus will travel a distance of 720 m in the given time of 2 minute.