What is Kinematics Kinematics is the study of

What is Kinematics? 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!

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.

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/sec 2 -32 ft/sec 2

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

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

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

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

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

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

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

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.

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.

4 Seconds 0 ft/sec 3 Seconds 32 ft/sec 5 Seconds 32 ft/sec 2 Seconds 64 ft/sec 6 Seconds 64 ft/sec 1 Second 96 ft/sec 7 Seconds 96 ft/sec 128 ft/sec 8 Seconds 128 ft/sec 0 Seconds Initial Velocity (Vi)

4 Sec. 3 Sec. 2 Sec. 1 Sec. 0 Sec. Constant Horizontal Velocity

Constant Horizontal Velocity 4 Sec. 3 Sec. 2 Sec. 1 Sec. 0 Sec. Gravitational Acceleration 32 ft/sec 2

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