Some Definition From Projectile Motion

What is a projectile

Any object when thrown or projected in air or dropped in a direction making some angle with the horizontal is called as projectile

For any particle moving in X-Y plane, the equation of the path of the projectile is ,

Y = X(tanθ) - gX²/(2u²cos²θ)

where, θ - angle of projection, 

            u - velocity of projection

Angle of projection

The angle that is made by the velocity of the projection or velocity vector with the horizontal is called as angle of projection

Velocity of projection

The velocity with which the object is projected is simply called as projection velocity or velocity of projection

Trajectory

The path along which a projectile travels is called as trajectory of the projectile

Time of flight (T)

Total time for which projectile remains in air above the ground from the point of projection is called as the time of flight. It can also be termed as the time taken by the object to cover the entire trajectory

Time of flight (T) = time of ascent + time of descent

T = 2usinθ/g

where , u - velocity of projection

             θ - angle of projection

              g - acceleration due to gravity.

Horizontal Range (R)

It can be defined as the distance covered by a projectile along the horizontal between the point of projection to the point when it returns to the ground is called horizontal range. 

R = u²sin2θ/g 

Maximum height (H) 

The maximum vertical distance upto which the projectile rises from the horizontal level is called as maximum height

H = u²sin²θ/(2g)