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An arrow is shot into air. Its range is ...

An arrow is shot into air. Its range is 200m and its time of flight is 5s. If `g = 10 ms^(-2)`. If `g = 10ms^(-2)`, then horizontal component of velocity and the maximum height will be respectively

A

12.5 m/s

B

25 m/s

C

31.25 m/s

D

40 m/s

Text Solution

Verified by Experts

The correct Answer is:
D
`R = (u^(2) sin 2theta)/g = 200 m rArr (2u^(2) sin theta cos theta)/g = 200`
`rArr ((2u sin theta)/g) ucos theta = 200 [therefore T = (2u sin theta)/g = 5]`
`rArr u cos theta = 200/5 = 40 m//s`
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