# A projectile is shot from the ground at an angle of #pi/4 # and a speed of #15 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?

##### 2 Answers

The distance is

#### Explanation:

Resolving in the vertical direction

initial velocity is

Acceleration is

At the maximum height,

We apply the equation of motion

to calculate the time to reach the greatest height

Resolving in the horizontal direction

To find the horizontal distance, we apply the equation of motion

Here in our case

When the projectile will reach maximum height

Velocity in

From this equation we get

Now time required to reach the highest point