Projectile Trajectory

definition of projectile trajectory,
examples of projectile trajectory in sports,
factors affecting projectile trajectory with examples,
equation of projectile trajectory.

1. BY, SARAN S TRAJECTORY

2. WHAT IS TRAJECTORY? THE PATH FOLLOWED BY A PROJECTILE FLYING OR AN OBJECT MOVING UNDER THE ACTION OF GIVEN FORCES.

3. FACTORS AFFECTING PROJECTILE TRAJECTORY INITIAL VELOCITY ANGLE OF PROJECTION PROJECTION HEIGHT RELEVENT TO THE LANDING SURFACE AIR RESISTANCE MASS VELOCITY GRAVITY SPIN SURFACE AREA OF THE PROJECTILE

4. INITIAL VELOCITY AFFECTING PROJECTILE TRAJECTORY INITIAL VELOCITY IS DIRECTLY RELATED TO THE DISTANCE COVERED IN FLIGHT. THE SPEED OF RELEASE DEPENDS ON A INITIAL VERTICAL VELOCITY AND INITIAL HORIZONTAL VELOCITY. HAVING HIGHER HORIZONTAL VELOCITY WILL INCREASE THE DISTANCE COVERED.

5. ANGLE OF PROJECTION AFFECTING PROJECTILE TRAJECTORY AN OBJECT WHICH IS PROJECTED AT DIFFERENT ANGLES BUT THE SAME INITIAL VELOCITY COVERS DIFFERENT DISTENCES.

6. PROJECTION HEIGHT RELEVENT TO THE LANDING SURFACE HIGHER THE LEVEL OF RELEASE, LONGER THE DISTANCE IS COVERED IN FLIGHT. THE HORIZONTAL COMPONENT WILL BE ACTING ON A PROJECTILE FOR A LONGER DURATION, HENCE THE PROJECTILE WILL BE COVERING A LONGER DISTANCE.

7. AIR RESISTANCE AFFECTING PROJECTILE TRAJECTORY WHEN A PROJECTILE MOVES THROUGH THE AIR, IT IS SLOWED DOWN BY THE AIR RESISTANCE AIR RESISTANCE DECRESE THE HORIZONTAL VELOCITY OF A PROJECTILE.

8. GRAVITY AFFECTING PROJECTILE TRAJECTORY GRAVITATIONAL FORCEIS IS EXCERTED BY EARTH ON ALL THE OBJECTS GRAVITATIONAL FORCE IS CONSTANT FOR ALL THE OBJECTS GRAVITAIONAL FORCE DECREASES AT THE PLACES OF HIGH ALTITUDE PERFORMANCE IN JUMPS AND THROWS IS BETTER AT THE PLACES OF HIGH ALTITUDE The Olympic Games in Mexico were controversially held at the highest altitude ever. The venue had an altitude of  2,239 meters (7,349 feet) . The thin air was bad for athletes in endurance events, but it lead to records in short races, relays, and jumping events

9. SPIN AFFECTING PROJECTILE TRAJECTORY AMOUNT AND DIRECTION OF SPIN DIRECTLY AFFECTS THE DISTANCE COVERED IF THE SPIN CREATES LOW PRESSURE ON THE TOP, THE OBJECT REMAINS IN THE AIR FOR LONGER PERIOD COVERING LONGER DISTANCE IF THE OBJECT CREATES HIGH PRESSURE ON THE TOP, THE OBJECT REMAINS IN THE AIR FOR SHORTER PERIOD AND COVERS SHORTER DISTANCE

10. EQUATION OF TRAJECTORY x= u cos θ Y= u sin θ u θ X= u cos θ t +   Since horizontal component of acceleration is always 0 X= u cos θ t --------- ① Y= u sin θ t - g --------②   If we eliminate time t X= u cos θ t :therefore t=   Where: y= u sin θ     : y= x tan θ -  

11. THANKYOU