# If a projectile is shot at a velocity of #45 m/s# and an angle of #pi/6#, how far will the projectile travel before landing?

##### 2 Answers

Range of projectile motion is given by the formula

Given,

So,

This is the displacement of the projectile horizontally.

Vertical displacement is zero,as it returned to the level of projection.

The projectile will travel

#### Explanation:

The equation of the trajectory of the projectile in the

The initial velocity is

The angle is

The acceleration due to gravity is

When the projectile will land when

Therefore,

graph{0.577x-0.0032x^2 [-6.2, 204.7, -42.2, 63.3]}