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# 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.

Given, bus starts from rest, so its initial speed = 0 m/s
a = 0.1 m s-2

t = 2 min = 120 s

(a) Now,
$$\because$$ a = $$v-u \over t$$
$$\Rightarrow v = at + u$$
$$\Rightarrow v = 0.1 × 120 + 0$$

$$\therefore$$ speed acquired $$= \ 12 \ m/s$$

(b) We know that, $$v^2 - u^2 = 2as$$

$$\therefore 12^2 - 0^2 = 2 × 0.1 × s$$
$$\Rightarrow s =$$ $$144 \over 0.2$$

$$\therefore$$ distance travelled = 720 m