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
 There is only acceleration in
the vertical direction,the only
velocity in the horizontal
direction is constnt.The
vertical motion of the
projectile will be free fall.
 The acceleration will be equal
to 9.8m/s^2
 The horizontal velocity of
projectile will remail
unchanged throughout the
motion.
 The vertical component
changes linearly because of
acceleration due to gravity is
constant.
Equations
 X- Component
 Y- Component
 Vectors
t
v
x
x xi
i
f 

gt
v
v
y
g
v
v
gt
t
v
y
y
yi
yf
yi
yf
yi
i
f








2
2
1
2
2
2
)
sin(
)
cos(


i
yi
i
xi
v
v
v
v


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.
 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.
Horizontal Projectile
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

Projectile_Motion_ppt.ppt

  • 1.
  • 2.
    Projectile Motion When aBody 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.
  • 3.
    Types of ProjectileMotion  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
  • 4.
    Velocity Acceleration  Thereis only acceleration in the vertical direction,the only velocity in the horizontal direction is constnt.The vertical motion of the projectile will be free fall.  The acceleration will be equal to 9.8m/s^2  The horizontal velocity of projectile will remail unchanged throughout the motion.  The vertical component changes linearly because of acceleration due to gravity is constant.
  • 5.
    Equations  X- Component Y- Component  Vectors t v x x xi i f   gt v v y g v v gt t v y y yi yf yi yf yi i f         2 2 1 2 2 2 ) sin( ) cos(   i yi i xi v v v v  
  • 6.
    Factors Affecting ProjectileMotion  What two factors would affect projectile motion?  Angle  Initial velocity Initial Velocity Angle
  • 7.
    Equations in horizontaland vertical motions Horizontal Vertical
  • 8.
    Height of anProjectile  The greatest height that the object will reach is known as height of projectile .  It does not depend on mass of the object.
  • 9.
    Range of anProjectile  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.
  • 10.
    Time of flightof a Projectile  The total time for which the projectile remains in air is known as time of flight.
  • 11.
    Horizontal projectile  Horizontalprojectiles are easiest to work with  Only formula used is X=ut
  • 12.
    Horizontal Projectile  Anobject 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.
  • 13.
     In thehorizontal 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. Horizontal Projectile
  • 14.
    Trajectory of aProjectile  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.
  • 15.