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Projectile Motion Basics: Understanding Trajectories

Learn about projectile motion basics, trajectory paths, and solving simple problems involving horizontal and vertical components. Separate the X and Y variables and apply kinematic equations to calculate outcomes accurately. Practice solving problems step-by-step with given information.

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Projectile Motion Basics: Understanding Trajectories

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  1. Projectile Motion Copy all info in the red boxes.

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

  3. 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.

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

  5. 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.

  6. 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.

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

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

  9. X and Y are Independent • Y axis will be accelerated by gravity: 10 m/s2

  10. Combined, a projectile with voy = 0 follows this path. • Wording that means Voy = 0 • rolled of a table • thrown horizontally

  11. 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. • dx = (vx)(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

  12. Equations Solving Simple Projectile Motion Problems • Do not mix up y and x variables • dy – height • dx – range (displacement x)

  13. For all projectile motion problems • Draw a diagram • Separate the X and Y givens • Something is falling in these problems X Givens Y Givens dX = a = -10 m/s vX = … t = … …

  14. 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?

  15. 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 givens Y givens

  16. 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 givens Y givens

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