Projectile motion is a form of motion where an object moves in a bilaterally symmetrical, parabolic path. The path that the object follows is called its trajectory. Projectile motion only occurs when there is one force applied at the beginning on the trajectory, after which the only interference is from gravity. In a previous atom we discussed what the various components of an object in projectile motion are. In this atom we will discuss the basic equations that go along with them in the special case in which the projectile initial positions are null (i.e. x0=0 and y0=0 ).

The time of flight of a projectile motion is the time from when the object is projected to the time it reaches the surface. T depends on the initial velocity magnitude and the angle of the projectile:

T=2⋅u/g

T=2⋅u⋅sinθ/g

The range of the motion is fixed by the condition y=0 . Using this we can rearrange the parabolic motion equation to find the range of the motion:

R=u^2⋅sin(2θ)/g