When a particle is projected into the air,
* then the particle is called a projectile.
* the point from which the particle is projected is called the point of projection.
* the angle that the direction in which it is projected makes with the horizontal plane through the point of projection is called the angle of projection;
* the path which the particle describes is called its trajectory;
* the distance between the point of projection and the point where the path meets any plane drawn through the point of projection is its range on the plane;
* the time that elapses before it again meets the horizontal plane through the point of projection is called the time of flight.
* the initial velocity with which the projectile is projected is called the velocity of projection.
* the maximum height reached by a projectile during its motion is called greatest height.
LIST OF FORMULAE
* Velocity and direction of motion after time ‘t’ v2 = u2 – 2ugt sinα + g2t2 and tanθ = usinα–gt/ucosα
* Velocity and direction of motion at height ‘h’ v2 = u2 – 2gh and tanθ = √(u2sin2α–2gh)/ucosα
* Greatest height attained by a projectile h = u2sin2α/2g
* Time for the greatest height = u.sinα/g
* Time of flight t = 2u sinα/g
* Range = u2 sin2α/g
* Maximum Range = u2/g
Here u : initial velocity of the body
α : Angle of projection
θ : Angle which the velocity of the projectile at a certain point makes with the horizontal (It is the tangent to the path of the projectile at the point)
g : acceleration due to gravity
i.e. (x– u2sinα.cosα/g)2 = –2u2cos2α/g (y– u2.sin2α/2g)