Projectile Motion Problem?
Supposing the origin of coordinates at the player, the ball describes a parabola such as
Using the mechanical energy conservation relationship
Consider the horizontal component of the motion:
Since this is perpendicular to the force of gravity, this remains constant.
Consider the vertical component of the motion:
This is the initial velocity of the ball in the y direction.
If we assume the motion to be symmetrical we can say that when the ball reaches its maximum height
Now we can use:
Now we know
I did it using some Trig':
This is the angle of launch.
To get the height reached we can use:
Again, the time taken to reach the maximum height will be 3.6/2 = 1.8 s