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Projectile Motion

Explore the dynamics of projectile motion, where objects move under the influence of gravity at angles other than vertical. This overview covers the components of vectors, including horizontal and vertical components of velocity. Learn how to calculate changes in horizontal and vertical displacement using the principles of uniform motion and uniformly accelerated motion due to gravity. Gain insights into the significance of time in both horizontal and vertical motions, which remain constant in these calculations.

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Projectile Motion

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  1. Projectile Motion The motion of an object under gravity if it is not just going straight up or straight down.

  2. Components of Vectors Velocity Vector θ Horizontal θ is the angle of the velocity vector above the horizontal.

  3. The velocity vector with the horizontal component and the vertical component Vertical Component vv = v·sinθ Velocity Vector θ Horizontal Horizontal Component vh= v∙cosθ

  4. Motion of a Projectile

  5. Using Components to Calculate the Motion of Projectiles • After calculating the horizontal component of the velocity and the vertical component of the velocity, the change in horizontal displacement and the change in vertical displacement can be found. • The horizontal motion uses the formula for uniform motion • The vertical motion uses a formula for uniformly accelerated motion as the acceleration due to gravity is always horizontal

  6. Time is on our side • The one thing that the horizontal and vertical motions have in common is time.

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