You should fly at an angle of
Explanation:
The motion of the ball is a free fall motion, so the vertical displacement of the ball (in negative directions) is given by
where
is the acceleration due to gravity
t is the time
The horizontal distance you have to cover to catch the ball is
The vertical and horizontal displacement form a right triangle, so that we can write
where is the direction of your motion. Substituting,
(1)
We also know that the horizontal position of the person at time t is
And so, for the time t at which the person catches the ball,
Substituting this expression into (1),
And using
we find:
Learn more about free fall motion:
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