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Projectile Motion Copy all info in the red boxes.

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Projectile- Object that is launched by a force and continues to move by its own inertia Trajectory- parabolic path of a projectile

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Projectile motion involves an object moving in 2D (horizontally and vertically) but only vertically is influenced by gravity. The X and Y components act independently from each other and will be separated in our calculations.

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The equations for uniform acceleration, from unit one, can be written for either x or y variables: the kinematic equations

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If we push the ball harder, giving it a greater horizontal velocity as it rolls off the table, the ball would take _________ time to fall to the floor.

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Horizontal and vertical movement is independent If we push the ball harder, giving it a greater horizontal velocity as it rolls off the table, the ball would: –Y axis: take the same time to fall to the floor. –X axis: It would just go further.

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Horizontal and vertical movement is independent Horizontal uniform (no acceleration due to gravity) use this equation Vertical accelerated by gravity (use kinematic equations)

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X and Y are independent X axis has uniform motion since gravity does not act upon it.

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X and Y are Independent Y axis will be accelerated by gravity: 10 m/s 2

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Combined, a projectile with v oy = 0 follows this path. Wording that means V oy = 0 rolled of a table thrown horizontally

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Solving Simple Projectile Motion Problems You will have only enough information to deal with the y or x axis first You cannot use the Pythagorean theorem since X and Y-axes are independent Time will be the key: The time it took to fall is the same time the object traveled vertically. d x = (v x )(t) is the equation for the horizontal uniform motion. If you don’t have 2 of three x variable you will have to solve for t using gravity and the y axis

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Equations Solving Simple Projectile Motion Problems Do not mix up y and x variables d y – height d x – range (displacement x)

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For all projectile motion problems Draw a diagram Separate the X and Y givens Something is falling in these problems X GivensY Givens d X =a = -10 m/s v X = … t =… …

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Example Problem 1 A stone is thrown horizontally at 7.50 /s from a cliff that is 68.4 m high. How far from the base of the cliff does the stone land?

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Write out your x and y givens separately A stone is thrown horizontally at 7.50 /s from a cliff that is 68.4 m high. How far from the base of the cliff does the stone land? X givensY givens

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A stone is thrown horizontally at 7.50 m/s from a cliff that is 68.4 m high. How far from the base of the cliff does the stone land? X givensY givens

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