The velocity, 50 m/s, has two components - vertical and horizontal velocities.
The vertical component = 50 sin 30 = 25 m/s
The horizontal component = 50 cos 30 = 43.3 m/s
(a) Let t be the time taken for the vertical component to reach its peak from initial velocity = 25 m/s to its final velocity = 0.
Using the linear motion equation v = u - gt
0 = 25 - 10t
t = 2.5 s
Time taken to go up and down = 5 s
Time to hit the ground = 5 s
(b) Horizontal distance dealt x = 43.3 * 5 = 216.5 m
This is not the correct answer, but explains the problem thoroughly.
