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.

August 25, 2024

Answer

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 + ${1\over2}at^2$

= 0 × 120 + ${1\over2}$ × 0.1 × (120)²

= ${1\over2}$ × 0.1 ×14400 m = 720 m

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

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