Have you ever tried playing Basketball? Badminton? Volleyball? Soccer?
Projectile Motion
The motion of a body projected horizontally or at an angle other than 90° with the horizontal is called Projectile Motion. Examples of projectiles include a soccer ball being kicked, a basketball that was thrown, a bullet fired and water out of a fountain.
PROJECTILE – The object that is being thrown or the object that is in motion TRAJECTORY – The pathway of the projectile
Galileo Galilei first described projectile motion as having two components: horizontal and vertical.
Horizontal component is uniform motion; it means that in the horizontal direction, an object's motion is occurring at a constant velocity—there is no acceleration or deceleration acting on it.
Vertical component is free fall; it means that in the vertical direction, the object's motion is influenced solely by gravity (g, which is 9.m/s 2 ) , and it accelerates downward at a constant rate due to gravity.
Projectile motion can be analyzed using the five kinematic equations. V o refers to the initial velocity V ox and V oy are the initial horizontal and initial vertical velocity ɵ is the angle projection
Sample Problem 1: A cannonball is launched with an initial velocity of 50 m/s at an angle of 30° above the horizontal. How far will it travel horizontally before hitting the ground?
Sample Problem 2: A projectile is launched with an initial speed of 120 m/s at an angle of 30° above the horizontal. Find the horizontal range of the projectile .
Sample Problem 3: A ball is kicked with an initial velocity of 15 m/s at an angle of 45° above the horizontal. How far will the ball travel horizontally before it hits the ground?
Sample Problem 4: A soccer ball is kicked at a speed of 70 m/s at an angle of 60° to the horizontal. How far will the ball travel horizontally before it hits the ground?
Sample Problem 5: A basketball is thrown with an initial speed of 95 m/s at an angle of 45° to the horizontal. How far will the ball travel horizontally before hitting the ground?
Sample Problem 6: A rock is thrown from a cliff 50 meters high with an initial velocity of 20 m/s at a 30° angle to the horizontal. Find the horizontal distance the rock travels before hitting the ground.