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a bus moves at a=2m/s2. a cyclist 96m behind the bus starts simultaneously towards the bus at 20m/s.at what time will he be able to overtake the bus?

a bus moves at a=2m/s2. a cyclist 96m behind the bus starts simultaneously towards the bus at 20m/s.at what time will he be able to overtake the bus?

Grade:9

1 Answers

Shubham Singh
199 Points
6 years ago
take bus as observer
so, acceleration of bus = -2m/s2
by using equation of motion
96 = 20t – 2t2/2
so, 96 = 20t – t2
on solving we get t = 12 and 8
the answer will be 8 seconds because at t=12 seconds they will cross each other for second time.

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