(a) The maximum height reached by the ball is determined as 2.87 m.
(b) The horizontal distance traveled by the ball (range ) is 19.88 m.
How to calculate the maximum height reached by the ball?
(a) The maximum height reached by the ball is calculated by applying the following formula as shown below.
H = (U² sin²θ ) / 2g
where;
- U is the initial velocity
- g is acceleration due to gravity
- θ is the angle of projection
H = (15² x (sin 30)² ) / ( 2 x 9.8)
H = 2.87 m
(b) The horizontal distance traveled by the ball is calculated as follows;
R = (U² sin(2θ) ) / g
R = (15² sin (2 x 30) ) / 9.8
R = 19.88 m