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Chapter 6 Motion in Two DirectionsPowerPoint Presentation

Chapter 6 Motion in Two Directions

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Chapter 6Motion in Two Directions

Projectile Motion

Projectile- object shot through the air

Trajectory- the path that a projectile follows

How can horizontal and vertical displacement be determined?

- Vertical displacement
dy= ½gt2 + vit

if vi=0 then dy= ½gt2

- Horizontal displacement
dx= vxt

Example

- A stone is thrown horizontally at 15m/s. It is thrown from the top of a cliff 44 m high.
- How long does it take the stone to reach the bottom of the cliff?
- How far from the base of the cliff does the stone strike the ground?

Example

A projectile is launched horizontally from the top of a building with a velocity of 12.7m/s. At what height is the projectile launched if the projectile lands 15.0 m from the side of the building?

Projectiles Launched at an Angle

- A golf ball is hit and leaves the tee with a velocity of 25.0 m/s at 35.0° with respect to the horizontal. What is the horizontal displacement of the ball?
V= 25.0 m/s

= 35.0°

dx= ?

t=?

Example

- A projectile is fired with a velocity of 19.6 m/s at an angle of 60.0° with the horizontal.
- Calculate the vertical and horizontal velocity of the projectile.
- Calculate the time the projectile is in the air.
- Determine the horizontal displacement that the projectile travels.
- Determine the maximum height the projectile reaches.

Circular Motion

- Centripetal acceleration
- - center-seeking acceleration of an object moving in a circle.
How is it determined?

Ac= v2/r or

Ac= 42r/T2

Centripetal Force

- Net force directed toward the center of a circle
How is it determined?

Fnet= mac

Example: A 13g rubber stopper is attached to a 0.93 m string. The stopper is swung in a horizontal circle, making one revolution in 1.18s. Find the tension force exerted by the string on the stopper.

Relative Velocity

- Motion is relative to an observer
- Example: A motor boat traveling 6.0 m/s, East encounters a current traveling 3.8 m/s, South.
- What is the resultant velocity?
- If the width of the river is 120 m wide, then how much time does it take the boat to travel shore to shore?
- What distance downstream does the boat reach the opposite shore?

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