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A bus starting from rest moves with a un...

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.

A

12 m/s and 720 m

B

6 m/s and 360 m

C

5 m/s and 670 m

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Calculation of speed acquired
Here, `" "` Initial speed, `u=0" "` (Bus starts from rest)
`" "` Final speed, `v=?" "` (To be calculated)
`" "` Acceleration, `a= 0.1 " m "s^(-2)`
And, `" "` Time, `t`= 2 minutes
`" "=2xx60` seconds
`" "= 120` s
Now, `" "` Final velocity, `v=u+at`
So, `" "v= 0+0.1xx120`
`" "v= 12" m "s^(-1)`
Thus, the speed acquired by the bus is 12 metres per second.
(b) Calculation of distance travelled
Now, `" "` Distance travelled, `s=ut+(1)/(2)at^(2)`
So, `" "s=0xx120+(1)/(2)xx0.1xx(120)^(2)`
`" "s= 0+(1)/(2) xx0.1xx14400`
`" "s= 720` m
Thus, the distance travelled by the bus is 720 metres.
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