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JEE PHYSICS MCQ: MOTION IN A STRAIGHT LINE

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A bus starts from rest and moves along a straight road with constant acceleration ff until its speed is vv. The bus then continues with constant speed vv. When the bus starts, a car is at a distance bb behind the bus and is moving with constant speed uu in same direction as that of bus. Find the distance between the car and the bus at time tt after the bus started.

(Given 0<t<vf0 < t < \frac{v}{f} and u2<2fbu^2 < 2 f b).
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Correct option: A
b−ut+ft22b-u t+\frac{f t^2}{2}
Option A (b−ut+ft22b-u t+\frac{f t^2}{2}) is correct because it represents the difference between the initial distance, the distance covered by the car, and the distance covered by the bus with constant acceleration.

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