Physics of Projectile Motion Exploding fireworks follow a

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Physics of Projectile Motion Exploding fireworks follow a parabolic trajectory.

Physics of Projectile Motion Exploding fireworks follow a parabolic trajectory.

What’s wrong with this picture ? Answer: It never happens ! Only when there

What’s wrong with this picture ? Answer: It never happens ! Only when there is no gravity.

Why do projectiles fly in a parabola?

Why do projectiles fly in a parabola?

A History of Projectile Motion Aristotle: The canon ball travels in a straight line

A History of Projectile Motion Aristotle: The canon ball travels in a straight line until it lost its ‘impetus’. Galileo: - a result of Free Fall Motion along y-yaxis and Uniform Motion along x-axis.

Projectile Motion = Sum of 2 Independent Motions 1. Along x, the projectile travels

Projectile Motion = Sum of 2 Independent Motions 1. Along x, the projectile travels with constant velocity. vx=vxo x = vxot 2. Along y, the projectile travels in free-fall fashion. vy = vyo – gt y = vyot – (1/2) gt 2 , g= 9. 8 m/s 2 Projectile motion = a combination of uniform motion along x and uniformly accelerated motion (free fall) along y.

What’s the similarity between a freely-falling ball and a projectile ? y uniform motion

What’s the similarity between a freely-falling ball and a projectile ? y uniform motion Projectile motion vertical motion x A dropped ball falls in the same time as a ball shot horizontally. Along the vertical, their motions are identical (uniformly accelerated motion (free-fall). Along the horizontal, notice the ball fired horizontally covers the Same distance in the same unit time intervals (uniform motion along x)

Velocity Components at various points of the Trajectory vertical component vy v Net velocity

Velocity Components at various points of the Trajectory vertical component vy v Net velocity vx Horizonal component Above: Vectors are added in geometric Fashion. Launch speed = Return Speed is minimum at apex of parabolic trajectory.

At what angle do I launch for Maximum Range ? Need to stay in

At what angle do I launch for Maximum Range ? Need to stay in air for the longest time, and with the fastest horizontal velocity component Answer: 45°

Everyday Examples of Projectile Motion 1. Baseball being thrown 2. Water fountains 3. Fireworks

Everyday Examples of Projectile Motion 1. Baseball being thrown 2. Water fountains 3. Fireworks Displays 4. Soccer ball being kicked 5. Ballistics Testing