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# Chapter 6 Motion in Two Directions - PowerPoint PPT Presentation

Chapter 6 Motion 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 d y = ½ gt 2 + v i t if v i =0 then d y = ½gt 2

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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

• 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?

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?

• 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=?

• 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.

• Centripetal acceleration

• - center-seeking acceleration of an object moving in a circle.

How is it determined?

Ac= v2/r or

Ac= 42r/T2

• 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.

• 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?