PROJECTILE MOTION
SEMINAR PRESENTATION
SESSION-2017-18
PRESENTED BY-ANAND BIJARNIA
(151002003 )
Projectile Motion
When a Body in A free motion (moving through the air
without any forces other than gravity and air
resistance) it is called a Projectile Motion.
Normally air resistance is Ignored so the only force
acting upon the body is Gravity.
Gravity is a Uniform force acting downwords.
Types of Projectile Motion
Horizontal
Motion of a ball rolling freely along a
level surface
Horizontal velocity is ALWAYS
constant
Vertical
Motion of a freely falling object
Force due to gravity
Vertical component of velocity changes
with time
Parabolic
Path traced by an object accelerating
only in the vertical direction while
moving at constant horizontal velocity
Velocity Acceleration
The horizontal velocity of There is only acceleration in
projectile will remail the vertical direction,the
unchanged throughout the only velocity in the
motion. horizontal direction is
The vertical component constnt.The vertical motion
changes linearly because of of the projectile will be free
acceleration due to gravity is fall.
constant. The acceleration will be
equal to 9.8m/s^2
Equations
X- Component
x f xi v xi t
Y- Component
1 2
y f y i v yi t gt
2
2 2
v yf v yi 2 gy
v yf v yi gt
Vectors
v xi vi cos( )
v yi vi sin( )
Factors Affecting Projectile Motion
What two factors would affect projectile motion?
Angle
Initial velocity
Initial Velocity
Angle
Equations in horizontal and vertical
motions
Horizontal Vertical
Height of an Projectile
The greatest height that
the object will reach is
known as height of
projectile .
It does not depend on
mass of the object.
Range of an Projectile
The range of an
projectile is the distance
covered by the body till
it comes to rest in x-axis.
It does not depend on
mass of the object.
Time of flight of a Projectile
The total time for which
the projectile remains in
air is known as time of
flight.
Horizontal projectile
Horizontal projectiles are
easiest to work with
Only formula used is
X=ut
Horizontal Projectile
An object in free fall will
accelerate at 9.81 meters
per second squared
downwards.
When investigating the
trajectory of a projectile
we can look at the
horizontal motion and
the vertical motion
separately.
Horizontal Projectile
In the horizontal direction, there are no external
forces. Therefore, there is no acceleration. Velocity in
the horizontal direction is constant. This is because
all horizontal velocity vectors have same magnitude.
In the vertical direction, the only force acting on the
projectile is gravity. Therefore the object will
accelerate at a rate of 9.81 meters per second squared
downwards. Again, we see this is the diagram at the
right. The vertical velocity vectors increase in
magnitude as the projectile continues to move along
its trajectory.
Trajectory of a Projectile
The path described by an particle when its projected
at a certain angle and with initial velocity,v its known
as Trajectory of a Projectile.
Mathematically, a trajectory is described as a position
of an object over a particular time. A much simplified
example would by a ball or rock thrown upwards, the
path taken by the stone is determined by the
gravitational forces and resistance of air.
Trajectory Equation