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Questions  

A particle is projected from the ground with velocity u at angle q with horizontal. The horizontal range, maximum height and time of flight are R, H and T respectively. They are given by,  R=u2sin 2θg,  H=u2sin2θ2g  and  T=2u  sin  θg
Now keeping u as fixed q is varied from 30° to 60°. Then:

a
R will first increase. H will increase and T will decrease
b
R will first increase then decrease while H and T both will increase
c
R will decrease while H and T will increase
d
R will increase while H and T will decrease

detailed solution

Correct option is B

Range→      R α sin2θ  here sin2θ will first increase till 450 then decreasemaximum height→ H α sin2θ    here sin2θ will only increase. time of flight→ T α sinθ     here sinθ will only increase.

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