Three projectile A, B and C ar thrown 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 greatest for particle C
D. all of the above

Answer

4

Explanation

Reason of (A) `to` because `t prop sqrt(h)` not speed Reason of (B) `to` because range is greatest of C Reason of (C) `to` same as (B)
`" or " `
(i) `H=(u_(y)^(2))/(2g) or u_(y)=sqrt(2Hg)`
(ii) `T=(2u_(y))/(g)`
`:.` T is same for all
(iii) `R=u_(x)T`
Or `u_(x)propR`
`:.` horizontal velocity component is greatest for particle C
(iv) `u=sqrt(u_(x)^(2)+u_(y)^(2))`
`:.` launch speed is greatest for particle C