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Projectile Motion

Projectile Motion. Projectile Motion. 2 components of all projectile motion: Horizontal component (v x ) is constant. Vertical component (v y ) is affected by gravity. Projectile Motion. Projectile Motion. Two types to consider: Horizontal projection Ball rolling off of tabletop.

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Projectile Motion

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  1. Projectile Motion

  2. Projectile Motion • 2 components of all projectile motion: • Horizontal component (vx) is constant. • Vertical component (vy) is affected by gravity.

  3. Projectile Motion

  4. Projectile Motion • Two types to consider: • Horizontal projection • Ball rolling off of tabletop. • Bullet fired horizontally from rifle. • Angled projection • Cannonball fired at angle.

  5. Horizontal Projection • A ball rolls off a tabletop that is 0.750 m above the floor with an initial speed of 2.00 m/s.

  6. Horizontal Projection • A ball rolls off a tabletop that is 0.750 m above the floor with an initial speed of 2.00 m/s. • How long does the ball take to hit the floor? • Ball has no original vertical velocity. • Downward displacement = -0.750 m. • Acceleration due to gravity = -9.81 m/s2 • x = ½at2 • (-0.750 m) = ½ (-9.81 m/s2) t2 • (-0.750 m) = (-4.91 m/s2) t2 • t2 = 0.153 s2 • t = 0.391 s

  7. Horizontal Projection • A ball rolls off a tabletop that is 0.750 m above the floor with an initial speed of 2.00 m/s. • How far from the base of the table does the ball land? • Ball is airborne for 0.391 s. • Ball’s horiz. speed is 2.00 m/s. • s = d/t • d = st = (2.00 m/s)(0.391 s) = 0.782 m

  8. Horizontal Projection • A car rolls off of a cliff (don’t worry, the driver jumped free at the last second!) at 30.0 m/s and hits the ground 3.50 seconds later. • How tall is the cliff? • How far from the cliff’s base did the car land?

  9. Horizontal Projection • A rifle bullet is fired horizontally from a height of 1.60 m. The rifle bullet lands 487 m away. • How long is the bullet airborne? • What was the original speed of the bullet?

  10. Angled Projection • When a projectile is fired at an angle, calculate both the horizontal and vertical components. • Vertical component affected by gravity. • Horizontal remains constant.

  11. 150. m/s 30º Angled Projection • A cannon fires a shell at 150. m/s at an angle of 30º above the horizon. • What is the shell’s horizontal velocity? • (150. m/s)(cos30º) = 130. m/s • What is the shell’s initial vertical velocity? • (150. m/s)(sin30º) = 75.0 m/s

  12. Angled Projection • An archer fires an arrow with vo of 45.0 m/s at an angle 40º above the horizontal. • What is the maximum height attained by the arrow? • How long is the arrow in flight? • How far from the archer does the arrow land?

  13. Angled Projection • A catapult lobs a stone at 30.0 m/s at an angle 70º above the horizon. • What is the maximum height obtained by the stone? • How long is the stone in the air? • How far from the catapult does the stone land?

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