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Two particles projected form the same po...

Two particles projected form the same point with same speed u at angles of projection `alpha and beta` strike the horizontal ground at the same point. If `h_1 and h_2` are the maximum heights attained by the projectile, R is the range for both and `t_1 and t_2` are their times of flights, respectively, then

A

`alpha + beta = pi/2`

B

`R = 4(sqrt(h_1h_2))`

C

`t_1/t_2 = tan alpha`

D

`tan alpha = (sqrt (h_1/h_2))`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
`alpha + beta = 90^@` or `beta = 90^@ - alpha`
`h_1= (u^2sin^2alpha)/(2g) and h_2 = (u^2cos^2alpha)/(2g)`
`t_1 = (2usinalpha)/g and t_2 = (2ucosalpha)/g`
`R_1 = R_2 = (2u^2sinalphacosalpha)/g = R` .
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