A bus is beginning to move with an acceleration of 1m/s2. A boy who is 48m behind the bus starts running with constant speed of 10m/s. The earliest time when the boy can catch the bus is
A
8 sec
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B
10 sec
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C
12 sec
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D
14 sec
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Solution
The correct option is A 8 sec
Initial velocity of boy with respect to bus =10ms−1
Acceleration of boy with respect to bus =−1ms−1
Solving with respect to bus, s=ut+12at2 48=10t−12t2 t2−20t+96=0 t2−12t−8t+96=0 (t−8)(t−12)=0 t=8s and 12s ∴ (a)