3. Contents
• Projectile & Projectile motion
• Trajectory of projectile
• Types of projectile motion
• Range of projectile
• Height of Projectile
• Time of Projectile
4. Projectile & Projectile Motion:-
• An object is thrown at an angle with the help of an external
force is known as projectile.
• Projectile motion is a form of motion in which an object or
particle (called a projectile) is thrown near the earth's surface,
and it moves along a curved path under the action of gravity
only.
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a) When the air resistance is negligible, the projectile moves in curved
path (As only force of gravity is acting on it) as shown in figure
b) If air resistance is not negligible then it is something like this as
shown in fig
a
b
6. Trajectory of Projectile
• The path followed by the projectile is known as the trajectory of the
projectile.
• The path followed by the projectile is in the parabolic curve form ,in
general , as shown in figure.
8. Horizontal “Velocity” Component
• NEVER changes, covers equal displacements in equal time periods.
This means the initial horizontal velocity equals the final horizontal
velocity
In other words, the horizontal velocity is
CONSTANT. BUT WHY?
Gravity DOES NOT work horizontally to
increase or decrease the velocity.
9. Vertical “Velocity” Component
• Changes (due to gravity), does NOT cover equal
displacements in equal time periods.
Both the MAGNITUDE and DIRECTION
change.
As the projectile moves up the
MAGNITUDE DECREASES and its
direction is UPWARD.
As it moves down the MAGNITUDE
INCREASES and the direction is
DOWNWARD.
10.
11. Continue…
• The velocity of the projectile is maximum at initial and final point.
• The velocity is zero at the peak point of the projectile.
• When we throw body upwards we are applying force opposite to
earths gravity at a point when the gravity force and force that we
applied on the body are equal at that point velocity becomes 0 . after
that point gravity force becomes more then applied force and then
body starts moving downwards.
12. Range of Projectile
• The total horizontal distance covered by the projectile is known as
the range of the projectile.
• The range of the projectile is calculated from the velocity & the sine
of the flight.
13. • The maximum range of the projectile is obtained at an angle of 45°.
• If sum of two angles become 90° , then the range of the projectile is
same at both angle.
a
b
14. Height of the projectile
• The altitude to which the projectile rises vertically is known as the
height of the projectile .
• The height at which the vertical component of velocity becomes zero
is known as the maximum height of the projectile.
Or
• The highest height which the object will reach is known as the
maximum height of the projectile.
16. Time of the projectile
• The time taken by a projectile to reach at the maximum height is
known as the time of projectile.
• The time taken by the projectile from launching point to the landing
point (initial to final point) is known as total time of projectile.