projectile motion let’s go skydiving! speed is the distance traveled per unit time. velocity is an...

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Projectile Motion Let’s Go Skydiving!

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Page 1: 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

Projectile Motion

Let’s Go Skydiving!

Page 2: 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

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.

Page 3: 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

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

Page 4: 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

0 Seconds

Velocity: 0 ft/sec

Acceleration: 32 ft/sec/sec

Page 5: 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

1 Second

Velocity: 32 ft/sec

Acceleration: 32 ft/sec/sec

Page 6: 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

2 Seconds

Velocity: 64 ft/sec

Acceleration: 32 ft/sec/sec

Page 7: 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

3 Seconds

Velocity: 96 ft/sec

Acceleration: 32 ft/sec/sec

Page 8: 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

4 Seconds

Velocity: 128 ft/sec

Acceleration: 32 ft/sec/sec

Page 9: 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

5 Seconds

Velocity: 160 ft/sec

Acceleration: 32 ft/sec/sec

Page 10: 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

6 Seconds

Velocity: 192 ft/sec

Acceleration: 32 ft/sec/sec

Page 11: 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
Page 12: 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
Page 13: 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

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.

Page 14: 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

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

Page 15: 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

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

Page 16: 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

0 S

ec.

1 S

ec.

2 S

ec.

3 S

ec.

4 S

ec.

Constant Horizontal Velocity

Page 17: 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

0 S

ec.

1 S

ec.

2 S

ec.

3 S

ec.

4 S

ec.

Constant Horizontal Velocity

Gravitational Acceleration32 ft/sec2

Page 18: 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

g

ix

Vsin 2

iV

g

iV Initial Velocity

Gravitational Acceleration

x Horizontal Distance Traveled

Firing Angle

Page 19: 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

g

iV Initial Velocity

Gravitational Acceleration

x Horizontal Distance Traveled

Firing Angle

g

2iV sin 2

x

x

Page 20: 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

Angle Firing

Traveled Distance Horizontal

onAccelerati nalGravitatio

Velocity Initial

x

g

Vi

iV

g12i

x2 sin

V