Question

A bus starts moving with an acceleration of 2m/s2. A cyclist 96m behind the bus starts simultaneously towards the bus at 20 m/s . After what time cyclist will be able to overtake the bus?

Joshi sir comment

let after time t

then distance covered by cyclist in this time = 20t

and by bus = 2t2 / 2 = t2

so according to the given condition 

20t = 96+t2

so t = 8,12

after 8 sec cyclist overtakes bus and after 12 sec bus overtakes cyclist

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