Projectile Motion Let’s Go Skydiving! Speed is the distance traveled per unit time. Velocity is an...

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Transcript of Projectile Motion Let’s Go Skydiving! Speed is the distance traveled per unit time. Velocity is an...

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/sec2

-32 ft/sec2

0 Seconds

Velocity: 0 ft/sec

Acceleration: 32 ft/sec/sec

1 Second

Velocity: 32 ft/sec

Acceleration: 32 ft/sec/sec

2 Seconds

Velocity: 64 ft/sec

Acceleration: 32 ft/sec/sec

3 Seconds

Velocity: 96 ft/sec

Acceleration: 32 ft/sec/sec

4 Seconds

Velocity: 128 ft/sec

Acceleration: 32 ft/sec/sec

5 Seconds

Velocity: 160 ft/sec

Acceleration: 32 ft/sec/sec

6 Seconds

Velocity: 192 ft/sec

Acceleration: 32 ft/sec/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.

ThetaFiring 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.

iV

iV

128 ft/sec

96 ft/sec

64 ft/sec

32 ft/sec

0 ft/sec

0 Seconds

Initial Velocity (Vi)

1 Second

2 Seconds

3 Seconds

4 Seconds

128 ft/sec

96 ft/sec

64 ft/sec

32 ft/sec

0 ft/sec

8 Seconds

7 Seconds

6 Seconds

5 Seconds

4 Seconds

09

0 S

ec.

1 S

ec.

2 S

ec.

3 S

ec.

4 S

ec.

Constant Horizontal Velocity

0 S

ec.

1 S

ec.

2 S

ec.

3 S

ec.

4 S

ec.

Constant Horizontal Velocity

Gravitational Acceleration32 ft/sec2

g

ix

Vsin 2

iV

g

iV Initial Velocity

Gravitational Acceleration

x Horizontal Distance Traveled

Firing Angle

g

iV Initial Velocity

Gravitational Acceleration

x Horizontal Distance Traveled

Firing Angle

g

2iV sin 2

x

x

Angle Firing

Traveled Distance Horizontal

onAccelerati nalGravitatio

Velocity Initial

x

g

Vi

iV

g12i

x2 sin

V