Horizontal range is given by,
R is maximum if is maximum.
i.e.
Horizontal range is maximum when angle of projection is 45°.
Horizontal range is given by,
where, is the angle of projection and is less than
We know,
[Where ]
Now,
and
Since
∴
Thus horizontal range is the same for angle of projection θ and α = 90°–θ.
Here,
Time taken for the shot to reach the ground, t = 2s.
Velocity in horizontal direction, u = 60 ft/s
The height of the tower = distance fallen by shot in 2s
That is,
The distance from the foot of the tower where it strikes the ground, s= ut = 60 x 2 = 120 feet.