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Intro to Projectile Motion

Intro to Projectile Motion. Two Dimensional Motion Projectile Motion. One Dimensional Motion . Until this point, motion that we have studied has been limited to one dimension Coordinate system was a number line with a zero point and +/- to indicate direction. Two Dimensional Motion .

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Intro to Projectile Motion

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  1. Intro to Projectile Motion Two Dimensional Motion Projectile Motion

  2. One Dimensional Motion • Until this point, motion that we have studied has been limited to one dimension • Coordinate system was a number line with a zero point and +/- to indicate direction

  3. Two Dimensional Motion • We will now study motion in two dimensions • Cartesian Plane will be our coordinate system • Must consider motion in both directions

  4. vx vy Two Dimensional Motion

  5. Projectile Motion • Objects thrown or launched into the air whose behavior is subject to the effects of gravity are known as projectiles • Projectile motion is the motion of objects moving in two dimensions under the influence of gravity

  6. Projectile Motion • Neglecting air resistance, projectiles will follow a parabolic path • In most cases, air resistance for fairly solid objects is minimal, so we will assume this from here on (unless otherwise stated)

  7. Air Resistance vs. No Air Resistance = Parabola = Not a Parabola

  8. Analyzing Projectile Motion • Projectile motion is free fall with an initial horizontal velocity

  9. Analyzing Projectile Motion • The horizontal motion does not affect the vertical motion • They occur simultaneously, but they are independent of each other

  10. Analyzing Projectile Motion Vertically • Object will fall with an acceleration of 9.81 m/s2 towards the Earth vertically • The velocity in the vertical dimension can be determined using kinematic equations

  11. Analyzing Projectile Motion Horizontally • Neglecting air resistance, acceleration in the horizontal direction is = 0. • Velocity is constant • With air resistance, acceleration  0

  12. Instantaneous Velocity of a Projectile • The instantaneous velocity (magnitude & direction) can be determined by finding the resultant of the horizontal & vertical velocities

  13. Instantaneous Velocity of a Horizontally Launched Projectile

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