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6 (JEE Main 2017 (Online) 9th April Morning Slot )

A car is standing 200 m behind a bus, which is also at rest. The two start moving at the same instant but with different forward accelerations. The bus has acceleration 2 m/s2 and the car has acceleration 4 m/s2 . The car will catch up with the bus after a time of :

A. 110 s

B. 120 s

C. 10 2 s

D. 15 s

Correct Option is (C)

Acceleration of Car, aC = 4 m/s2

Acceleration of bus, aB = 2 m/s2

Initial distance between them, S = 200 m

Acceleration of Car with respect to bus,

aCB = aC aB = 4 2 = 2 m/s2

As initially both are at rest so, uCB = 0

S = UCB × t + 1 2 aCB × t2

200 = 0 + 1 2 × 2 × t2

t2 = 200

t = 10 2 sec.