10 Projectile Motion

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10 Projectile Motion
Projectile Launched Horizontally Projectiles
Launched at an Angle Hang time
Revisited Fast-Moving ProjectilesSatellites
Circular Satellite Orbits Elliptical
Orbits Keplers Laws of Planetary
Motion Energy Conservation and Satellite Motion
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Horizontal motion does not affect gravity!
Each ball has same initial vertical velocity Each
balls vertical acceleration is same. Each ball
hits at the same time
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Two component look at projectile motion
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Force and Projectile Motion
Horizontal force is zero Horizontal velocity
constant. Vertical force is weight Vertical
velocity is decreasing.
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Each component affects range
vertical component affects time of flight Range
(horizontal component) x (time of flight) as
angle increases (time of flight) increases as
angle increases (horizontal component) decreases
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Range Variation
when initial and final height of projectile is
same when air resistance is negligible
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Air Resistance Effect
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Distance of Fall

• d ½ gt2 with g 10m/s/s
• t 1s d 5m
• t 2s d 20m
• t 3s d 45m

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Another way to see distance of fall in
projectile motion
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Satellite Motion
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Keplers Laws