# A projectile is shot from the ground at an angle of #pi/4 # and a speed of #2 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?

##### 1 Answer

Dec 11, 2016

The horizontal distance is

#### Explanation:

At the maximum height, the vertical component of the velocity is

The vertical component of the velocity

as

The horizontal component of the velocity

as

We use the equation,

So,

To find the height, we use

The horizontal distance is

graph{-2.45x^2+x [-0.419, 0.634, -0.063, 0.4635]}