A bus starting from rest moves with a uniform acceleration of 0.2 m s-2 for 3 minutes. Find (a) the speed acquired, (b) the distance travelled.
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Answer:
Here we have, Initial velocity (u) = 0
Acceleration (a) = 0.1ms-2
Time (t) = 2 minute = 120 second
(a) The speed acquired:
We know that, v = u + at
⇒v=0+0.1m/s2×120s
⇒v=120m/s
Thus, the bus will acquire a speed of 120 m/s after 2 minute with the given acceleration.
(b) The distance travelled:
We know that, s=ut+
1
2
at2
⇒s=0×120s+
1
2
×0.1 m/s2×(120s)2
=
1
2
×1440m=720m
Thus, bus will travel a distance of 720 m in the given time of 2 minute.
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