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A projectile can have same range R for t...

A projectile can have same range `R` for two angles of projection. It `t_1 and t_2` are the times of flight in the two cases, then what is the product of two times of flight ?

A

`R^(2)`

B

`(1)/(R^(2))`

C

`(1)/(R )`

D

R

Text Solution

Verified by Experts

The correct Answer is:
D
In both cases

`t_(1)=(2u sin theta)/(g).....(i)`
`t_(1)=(2usin(90^(@)-theta))/(g)`
`t_(1)=(2u cos theta)/(g)...(ii)`
Fro Eqs . (i) and (ii)
`t_(1)t_(2)=(4u^(2) sin theta cos theta)/(g^(2))=(2R)/(g)`
`:.t_(1)t_(2) alpha R`
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