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Questions  

An arrow is shot into air. Its range is 200 m and its time of flight is 5sec. If g = 10 m/s2, then the horizontal component of velocity of the arrow is

a
12.5 m/s
b
25.0 m/s
c
31.25 m/s
d
40 m/s

detailed solution

Correct option is D

R=u2sin⁡2θg=200m∴ R=u2(2sin⁡θcos⁡θ)g=200m      …. (1)Flight time,  t=2usin⁡θg=5sec          ….(2)Solving eqs. (1) and (2), we get u=cos⁡θ=40m/s

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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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