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Projectile Motion

Projectile Motion. 2 ways to look at projectiles. Parabola. ½ Parabola. Factors that Affect Projectiles. Mass – Greater velocity – Angle projected -. no affect. farther it travels in the x direction. affects the height and distance traveled in the x direction.

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Projectile Motion

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  1. Projectile Motion

  2. 2 ways to look at projectiles Parabola ½ Parabola

  3. Factors that Affect Projectiles • Mass – • Greater velocity – • Angle projected - no affect farther it travels in the x direction affects the height and distance traveled in the x direction

  4. The total velocity vector is the RESULTANT of the x- and y- components Acceleration is ALWAYS due to gravity going down while the projectile is in the air The projectile is made up of two right triangles where the right and left sides are mirror images of each other

  5. A water balloon is launched with a speed of 40 m/s at an angle of 600 to the horizontal. How high above the horizontal did the balloon go? How far away will the balloon land? Draw a right triangle Use the velocity and acceleration equations from 1D Motion x = ½ (vi + vf) t x = vi (t) + ½ a (t)2 vf = vi + a(t) vf2 = vi2 + 2a (x)

  6. Practice Problems 1. A projectile is launched with an initial speed of 21.8 m/s at an angle of 35.0-degrees above the horizontal. (a) Determine the time of flight of the projectile. (b) Determine the peak height of the projectile. (c) Determine the horizontal displacement of the projectile. 2. A place kicker kicks a football from 39.6 meters from the goal posts. The kick leaves the ground with a speed of 24.8 m/s at an angle of 49.6 degrees. The goal posts are 3.10-meters high. Determine the amount by which the kick clears the goal posts.

  7. Make right triangle. Use equations from 1D motion to solve. Acceleration is ONLY in the y direction Velocity in x direction is same Velocity in y direction increases in the negative direction

  8. Example The Royal Gorge Bridge in Colorado rises 321 m above the Arkansas River. Suppose you kick a little rock horizontally off the bridge. The rock hits the water such that the magnitude of its horizontal displacement is 45.0 m. Find the speed at which the rock was kicked. x = ½ (vi + vf) t x = vi (t) + ½ a (t)2 vf= vi + a(t) vf2 = vi2 + 2a (x)

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