# A projectile is shot from the ground at a velocity of #56 m/s# and at an angle of #(5pi)/6#. How long will it take for the projectile to land?

##### 1 Answer

Feb 2, 2016

#### Explanation:

Find the vertical and horizontal components of the velocity. Gravity only acts on the vertical component, so the time it takes for the projectile to rise and fall again is the time it takes for the projectile to land.

Let the initial vertical component be

Then

The final vertical velocity

The time taken for the projectile to land is