# A projectile is shot from the ground at an angle of #pi/8 # and a speed of #5 /9 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

#### Explanation:

We're asked to find the distance an object is from its launch point when it reaches its maximum height, given its initial velocity.

**Vertical**:

When the particle is at its maximum height, its instantaneous

to find the height

Plugging in known values (

The time

**Horizontal**:

We can find the horizontal distance covered by the equation

We found that

**Distance**:

The distance found via