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Q.

Two particles A and B are thrown simultaneously from the same point at the same angle θ of projection but with the two different initial velocities (u + v) and (v - u) respectively. Which of the following statements will be true in respect of their motions ?

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a

The difference in their maximum heights is (2uv/g).

b

They reach their maximum heights at a time interval of (2u sin θ)/g.

c

They will be separated by the distance of 2uv sin 2θg when they reach the ground again.

d

None of the above

answer is C.

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Detailed Solution

For(a), HA−HB=(u−v)2sin2θ2g−(v−u)2sin2θ2gFor(b), TA2−TB2=(u−v)sinθg−(v−u)sinθg=2usinθgFor(c), RA−RB=(u−v)2sin2θ2g−(v−u)2sin2θ2g=2uvsinθg
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