# Projectile Motion Problem?

##### 2 Answers

a)

b)

#### Explanation:

Supposing the origin of coordinates at the player, the ball describes a parabola such as

After

so

Also

so

then

Using the mechanical energy conservation relationship

#### Explanation:

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:

This becomes:

Now we know **V** . This was the method used in the answer by @Cesereo R.

I did it using some Trig':

This is the angle of launch.

Since

To get the height reached we can use:

This becomes:

Again, the time taken to reach the maximum height will be 3.6/2 = 1.8 s