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Questions  

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 ?

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

detailed solution

Correct option is C

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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Similar Questions

Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times.

Reason : Range of projectile does not depend on the initial velocity of a body.


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