# A projectile is shot from the ground at an angle of #pi/4 # and a speed of #6 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

Apr 17, 2016

#### Explanation:

Split up the velocity into its horizontal and vertical components using trigonometry,

Now you should work out the halfway point, where upwards velocity becomes

where the acceleration of gravity

Now you can work out the horizontal distance by

and the vertical distance by

The overall distance is found by Pythagoras' theorem,