Projectile motion is a motion in which an object is thrown
near the earth’s surface, and it moves along the curved
path under the action of gravity only.Projectile motion
Motion of a rider performing a bike stunt
1. The effect due to air resistance is negligible.
2. The effect due to curvature of the earth is negligible.
3. The effect due to rotation of the earth is negligible.
4. The acceleration due to gravity is constant over the range
of motion. Assumptions used in projectile motion
Idealized model of projectile motionθ R H v
Projectile
Any object which is projected in the air is called
as projectile.Projectile θ R H v
Trajectory
The parabolic path followed by a projectile in air is
called its trajectory.Trajectory θ R H v
Angle of projection
The angle with the horizontal at which an object is
projected in air is called as angle of projection.Angle of
projection θ R H v
Velocity of projection
The velocity with which an object is projected
in air is called as velocity of projection.Velocity of
projection θ R H v
θ
Time of flight
Time taken by the projectile to cover the entire
trajectory is called as time of flight.T
Time of
flight θ R H v
2 U Sin
g
T =
U² Sin²θ
Maximum height of projectile
It is the maximum vertical distance travelled by the
projectilefromtheground levelduringitsmotion.Maximum height θ R H v
H =
2
g
Horizontal range of projectile
It is the horizontal distance travelled by the
projectileduring entiremotion.Horizontal range θ R H v
R =
U² Sin2θ
g
Analysis of projectile motionv � v v v1
v v2=v −g v3� v3 v vf� � vf vf� v v i� i� i� v1� v1� 1� 2� v2� v3� v3� f� i� v1� v3� f� vi o =0 v2�
Important conclusion
Projectile motion:
a) Horizontal motion with constant velocity
b) Vertical motion with constant acceleration
is a combination of two motions