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A bus starting from rest moves with a uniform acceleration of $0.1 m / s²$ for $2 \min .$ . The speed acquired by the bus is $m / s$ and the distance travelled by bus is $m$ .

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Detailed Solution

A bus starting from rest moves with a uniform acceleration of

0.1 m / s²

for

2 \min .

. The speed acquired by the bus is

12 m / s

and the distance travelled by bus is

720 m

.
Given,
The initial speed,

u = 0 m / s

Acceleration,

a = 0.1 m / s²

Time,

t = 2 \times 60

= 120 s

From the first equation of motion,

v = u + at

\Rightarrow v = 0 + 0.1 \times 120

\Rightarrow v = 12 m / s

From second equation of motion,

\Rightarrow s = ut + \frac{1}{2} at²

\Rightarrow s = 0 \times t + \frac{1}{2} \times 0.1 \times 120 ²

\Rightarrow s = 720 m

The speed acquired by train is

12 m / s

and the distance covered is

720 m

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