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Q.

A ball of mass m is projected from a horizontal surface with a speed u at an angle  θ with horizontal. Then ( i^andj^  are unit vector along horizontal and vertical)

a) The change in velocity between point of projection and maximum height is  usinθ(j^)

b) The change in velocity during its flight is  2usinθ(j^)

c) Average velocity during its flight is  ucosθ(i^)

d) Average velocity during its half of time of flight is  ucosθ(i^)

The correct statements from above are

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a

a,b,c,d

b

a, b,c only

c

a and b only

d

a and d only

answer is D.

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Detailed Solution

For a projectile, horizontal component velocity remains constant.

If the initial velocity is 

ucosθi^+usinθj^

Final velocity is 

ucosθi^-usinθj^

Therefore, the change in velocity between point of projection and maximum height is  usinθ(j^), because the vertical component becomes zero at the highest point. 

The change in velocity during its flight is  2usinθ(j^)

Average velocity during its flight is  ucosθ(i^)

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