A ball is dropped from a height of 49 m. The wind is blowing horizontally. Due to wind a constant horizontal acceleration is provided to the ball. Choose the correct statement (s).

Options

A. Path of the ball is a straight line
B. Path of the ball is a curved one.
C. The time taken by the ball to reach the ground is `3.16s`.
D. The angle made by the line joining initial and final positions (on ground after 1st strike) of the ball with horizontal is greater than `45^@`.

Answer

A, C, D

Explanation

a,c,d. `u_x = u_y = 0, a_x = 4.9 ms^(-2), a_y = 9.8ms^(-2)`
So `x = 1/2 a_xt^2`
and `y = 1/2a_yt^2`
`x/y = a_x/a_y = 1/2`
So path of the ball is a straight line.
Let t be the time taken by the ball to reach ground, then
`49 = 1/2 a_yt^2 rArr t^2 = 10 rArr t = 3.16s`
`tan theta = a_y/a_x = 2 rArr theta = tan^(-1)(2)` .