What is Kinematics? Projectile Motion Kinematics is the study of the geometry of motion and is used to relate displacement, velocity, acceleration and time without reference to the cause of motion. Projectile Motion Let’s Go Skydiving!

Skydiving Training Speaking the Lingo Speed is the distance traveled per unit time. Velocity is an object's speed and direction of motion. Acceleration is a change in velocity over a certain period of time. Give examples of each term Add notes to each slide

Skydiving Training Speaking the Lingo Gravity tends to pull all objects toward the center of the earth. Gravitational Acceleration is the constant describing the acceleration of any object falling toward the earth. -9.8 m/sec2 -32 ft/sec2 Gravity is expressed as a negative because as a vector force it would pointing down.

0 Seconds Acceleration: 32 ft/sec/sec Velocity: 0 ft/sec

1 Second Acceleration: 32 ft/sec/sec Velocity: 32 ft/sec

2 Seconds Acceleration: 32 ft/sec/sec Velocity: 64 ft/sec

3 Seconds Acceleration: 32 ft/sec/sec Velocity: 96 ft/sec

4 Seconds Acceleration: 32 ft/sec/sec Velocity: 128 ft/sec

5 Seconds Acceleration: 32 ft/sec/sec Velocity: 160 ft/sec

6 Seconds Acceleration: 32 ft/sec/sec Velocity: 192 ft/sec

What's more daring than Skydiving?

The Human Cannonball

Human Cannonball Training Speaking the Lingo A projectile is any moving object upon which the only active force is gravity. Gravity pulls all projectiles toward the center of the earth at the same rate.

Human Cannonball Training Speaking the Lingo Firing Angle (θ) is measured in degrees. It is the angle at which the projectile left the cannon. Initial Velocity (Vi) is the angular speed of a projectile at the start of its flight.

Human Cannonball Training Don't Try This at Home 4 Seconds 4 Seconds 0 ft/sec 0 ft/sec 3 Seconds 5 Seconds 32 ft/sec 32 ft/sec 2 Seconds 6 Seconds 64 ft/sec 64 ft/sec 1 Second 7 Seconds 96 ft/sec 96 ft/sec 0 Seconds Initial Velocity (Vi) 8 Seconds 128 ft/sec 128 ft/sec

Human Cannonball Training Gravity OFF Constant Horizontal Velocity 0 Sec. 1 Sec. 2 Sec. 3 Sec. 4 Sec.

Human Cannonball Training Gravity ON Constant Horizontal Velocity Gravitational Acceleration 32 ft/sec2 0 Sec. 1 Sec. 2 Sec. 3 Sec. 4 Sec.

Projectile Motion – Motion in a plane Motion in 2 directions: Horizontal and Vertical Horizontal motion is INDEPENDENT of vertical motion. Path is always parabolic in shape and is called a Trajectory. Graph of the Trajectory starts at the origin.

Projectile Motion Formulas Going one step further: There is a right triangle relationship between the velocity vectors – Use Right Triangle Trigonometry to solve for each of them.

Projectile Motion Formulas

Projectile Motion Formulas

Human Cannonball Training Calculating Initial Velocity Gravity should be substituted in as a negative number. Because the formula has a negative sign in front of g it becomes a positive value for the purpose of solving the equation.

Human Cannonball Training Calculating Horizontal Distance

Human Cannonball Training Calculating Firing Angle