# A projectile is shot at an angle of #(5pi)/12 # and a velocity of # 4 m/s#. How far away will the projectile land?

##### 1 Answer

The projectile will land

#### Explanation:

As the projectile is launched at an angle, we will need to break the given velocity up into its

Using basic trigonometry, we can see that

We will calculate both of these components, then use the

Assuming the launch and landing points of the projectile are at the same altitude, the total flight time of the projectile is twice the flight time between the launch and the maximum altitude of the projectile. We can find

This kinematic will do the trick:

The total flight time is then

Now we can use this kinematic to find the range of the projectile:

Where

Hope that helps!