5. Projectile Motion - Galileo and Einstein

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Full Projectile Path• A projectile is shot at some upward angle from theorigin: see animation.• Galileo tells us the horizontal motion is just steadyvelocity, the vertical motion is the same as that of aball thrown directly upwards.• Therefore1 2x = v t, y = v t − gt .0x0y2• Eliminating t gives a parabolic curve through O:( ) ( )0y 0x 0xy= v v x−g v x2 2/ /2 .
Vector Picture of Projectile Motionr=vt0 r = v t − gt10 22Position at 1 secondintervals (notice it fallsbelow straight line: theg =0 trajectory).Velocities and Speeds at1 second intervals.
Page 1 and 2: ProjectilesPhysics 1425 Lecture 5Mi
Page 3 and 4: Galileo’s Law for Projectiles•
Page 5 and 6: Equation for the Trajectory• Taki
Page 7: Car Goes Horizontally Over Cliff•
Page 11 and 12: RangeA• Given the initial velocit

5. Projectile Motion - Galileo and Einstein

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