# A projectile is shot from the ground at a velocity of #4 m/s# at an angle of #pi/6#. How long will it take for the projectile to land?

##### 1 Answer

#### Explanation:

Let's start with Newton's equation

The horizontal acceleration is null while the vertical acceleration is equal to gravity

and using the definition of acceleration

and integrating both part of equations

The projectile will land when

and replacing in the equation or

The components of shot speed are

thus

and replacing by the figures given in the problem