Three projectile A, B and C are thrwon from the same point in the same plane. Their trajectories are shown in the figure. Then which of the following statement is true:-

Options

A. The time of flight is the same for all the three
B. The launch speed is greatest for particle C
C. The horizontal velocity component is greater for particle C
D. All of the above

Answer

D

Explanation

time of flight `T=sqrt((2H)/(g))` same for all
also `H=(u^(2)sin^(2)theta)/(2g)` which is same for all
`therefore u sin theta` is same for all
for large `theta` value of `sintheta` is large and hence u will be less
`therefore u_(A)ltu_(B)ltu_(C)`
i.e. lauch speed is maximum for particle C horizontal range `R=u_(x) xx T`
T is same for all and `R_(C)` is maximum
`therefore u_(x)` maximum for C