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Q.

 In the figure, the time taken by the projectile to reach from A to B is t. Then the distance AB is equal to

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a

ut3

b

3ut2

c

3ut

d

2ut

answer is A.

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Detailed Solution

Horizontal component of velocity, uH=ucos⁡60∘=u2

        AC=uH×t=ut2and  AB=ACsec⁡30∘=ut223=ut3

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 In the figure, the time taken by the projectile to reach from A to B is t. Then the distance AB is equal to