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A truck crosses a stationary motor cycle at a speed of 54 km/h. At the same instant, the motor cyclist follows the truck by accelerating his motor cycle at the rate of 1 ms^-2. The motor cyclist catches the truck after a time interval of

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45 s

40 s

30 s

60 s

answer is C.

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Detailed Solution

Relative distance travelled = 0
Initial relative velocity = -15 m/s
Relative acceleration = 1 m/s².

$0 = - 15 t + \frac{1}{2} . 1 . t^{2} \Rightarrow t = 30 s$

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