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Q.

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

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a

12.5 m/s

b

25.0 m/s

c

31.25 m/s

d

40 m/s

answer is D.

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Detailed Solution

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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