Question

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))`

Answer 1

Correct Answer - 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` .