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Projectile Motion

Projectile Motion. Chapter 3. Freefall/Projectile Lab. Does the horizontal speed with which a ball is launched effect the time it takes to land?. Freefall/Projectile Lab. Does the horizontal speed with which a ball is launched effect the time it takes to land? Consensus:

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Projectile Motion

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  1. Projectile Motion Chapter 3

  2. Freefall/Projectile Lab Does the horizontal speed with which a ball is launched effect the time it takes to land?

  3. Freefall/Projectile Lab Does the horizontal speed with which a ball is launched effect the time it takes to land? Consensus: All objects launched horizontally from the same height will land at the same time, regardless of speed.

  4. Freefall/Projectile Lab Consensus: All objects launched horizontally from the same height will land at the same time, regardless of speed. New Terms: Projectile – any object that is launched Height – the vertical distance a projectile falls Range – the horizontal distance a projectile travels

  5. Projectile Motion • Projectile • An object that is launched into the air • Does not sustain its own motion (have an engine) • Trajectory • The path of a projectile

  6. Projectiles • What are some common projectiles? • Is an airplane a projectile? • When is a golf ball not a projectile?

  7. Projectiles(free fall and throwing straight up) What does the motion map for free fall look like?

  8. Projectiles What does the motion map for a constant velocity look like?

  9. Projectiles What would it look like if we put them together? What would the motion of the object be like?

  10. Projectiles

  11. W 3-1

  12. W 3-1

  13. Vectors • Vector • A quantity with magnitude (amount) and direction • ex: velocity • Scalar • A quantity with just magnitude (amount) • ex: speed

  14. Vectors The length of a vector represents its magnitude. The direction of the vector is the direction of the quantity.

  15. Adding VectorsThe Parallelogram Rule

  16. Worksheet 3-2

  17. VectorsComponents Components – horizontal and vertical pieces of a vector

  18. Worksheet 3-2

  19. Projectiles What would the motion map look like for a baseball thrown straight up into the air?

  20. Projectiles What if we threw to baseball up at an angle?

  21. W 3-2

  22. Projectiles • The trajectory of a projectile launched horizontally or at an angle is a parabola.

  23. Horizontally Constant velocity vx = dx/t dx = vxt Range – distance traveled horizontally Range = vxt Vertically Change in speed due to gravity vy = gt dy = ½gt2 Height – distance traveled vertically Height = ½gt2 Relationships in motion

  24. Projectiles Calculate the resultant velocity of Freda Flyer who normally flies at 100 km/h and then encounters a 10-km/h headwind (wind coming from ahead).

  25. Projectiles Calculate the resultant velocity of Freda Flyer who normally flies at 100 km/h and then encounters a 10-km/h headwind (wind coming from ahead). 100 km/h – 10 km/h = 90 km/h

  26. Projectiles If two vectors of magnitude 6 and 8 are at right angles to each other, what is their resultant?

  27. Projectiles If two vectors of magnitude 6 and 8 are at right angles to each other, what is their resultant? 62 + 82 = c2 36 + 64 = c2 100 = c2 10 = c

  28. Projectiles If a 13-unit vector has a vertical component of 5 units, what is its horizontal component?

  29. Projectiles If a 13-unit vector has a vertical component of 5 units, what is its horizontal component? 52 + b2 = 132 25 + b2 = 169 b2 = 144 b = 12

  30. Projectiles A ball rolls off the edge of a balcony at 10 m/s. What is its speed after 1 second in the air?

  31. Projectiles A ball rolls off the edge of a balcony at 10 m/s. What is its speed after 1 second in the air? Given: v = 10 m/s 10 m/s a2 + b2 = c2 t = 1 s 102 + 102 = c2 Unknown: 10 m/s 100 + 100 = c2 v = ? 200 = c2 14.1 = c

  32. Projectiles A football is kicked 40 m. If the ball is in the air for 4 seconds, how high does the kick go at its highest point?

  33. Projectiles A football is kicked 40 m. If the ball is in the air for 4 seconds, how high does the kick go at its highest point? G:S: dx = 40 m dy = ½(10 m/s2)(2 s)2 t = 4 s U:S: dy = ? dy = ½(10)(4) E:dy = 20 m dy = ½gt2

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