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Projectiles and Projectile Motion

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What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is influenced only by the downward force of gravity.inertia

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Examples Examples

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Projectiles Continued Gravity influences a projectile’s vertical motion and causes the characteristic parabolic trajectory.

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See these paths!!

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Projectile Characteristics There can be two components of the projectile's motion - horizontal and vertical.

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"perpendicular components of motion are independent of each other" These two components of motion can (and must) be discussed separately. "perpendicular components of motion are independent of each other"

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The force of gravity does not effect the horizontal component of motion; a projectile maintains a constant horizontal velocity since there are no horizontal forces acting upon it.

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Projectiles Described Mathematically horizontal motion d x = v ix t vertical motion d y = v iy t + 1\2gt 2

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Ex.1 A bullet is fired horizontally at m/s from a height of 10.0 m. Calculate the following: A) time of flight B) horizontal displacement C) the final velocity of the bullet ( recall that velocity is a vector quantity and will need a direction)

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Ex.2 A soccer ball is kicked horizontally off a 22.0-meter high hill and lands 35.0 meters from the edge of the hill. Determine the initial horizontal velocity of the soccer ball

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Solution Horizontal Information: d x = 35.0m, a = 0m/s 2, v x = ? Vertical Information d y = -22.0m, v iy = 0m/s, a = -9.81m/s 2

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Solution Continued Use d y = v iy t + ½ at 2, to solve for time – Should get 2.12s Then use d x = v x t, and solve for v x. – Should get 16.5m/s

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