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# Mass A is released from rest at the top of a frictionless inclined plane 18m long and reaches the bottom 3s later. At the instant when A is released, a second mass B is projected upwards along the plate from the bottom with a certain initial velocity. Mass B travels a distance up the plane, stops and returns to the bottom so that it arrives simultaneously with A. The two masses do not collide. Initial velocity of B is4ms−16ms−17ms−15ms−1

A
6ms1
B
7ms1
C
4ms1
D
5ms1
Solution
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#### Here, for A,18=0×3+12a×32 or a=4ms−2For B, time taken to move up is given by , t1=u/a (∴ the relation v=u+at here becomes 0=u−at1). Distance moved up is given by the relation 0=u2−2aSi.e S=u2/2a

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