A bus starts from rest and gains an
acceleration of 2m/s^2. A man 20m behind the bus
run with a uniform velocity of 1 m/sec. To catch
it. The time in which he catchers the bus is
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Let man will catch the bus after time t.Since the distance from man position is same for both at time t
⇒ Distance covered by bus = Distance covered by man -48
⇒
2
1
at
2
=vt−48
⇒
2
1
(1)t
2
=10t−48
⇒t
2
−20t+96=0
⇒(t−12)(t−8)=0
⇒t=8s (minimum value) or t=12s
So,at t=8s,the man will catch the bus
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