Physics 1401A/B Lecture Notes - Lecture 4: Projectile Motion, Parabolic Trajectory

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Projectile motion: motion of a projectile such that the horizontal component of the velocity is constant, and the vertical motion has a constant acceleration due to gravity. Projectile: an object that is launched through the air along a parabolic trajectory and accelerates due to gravity. Neglect any variation in the direction or magnitude of the gravitational acceleration. The vertical acceleration is constant because of gravity. The horizontal and vertical motions of a projectile are independent, but they share the same time motion in one direction has no effect on motion in the other direction. When you know the initial velocity and the launch angle of a projectile, you can calculate the. Using this result in the y equation gives: Can solve for with quadratic formula: ( projectile"s range ( ) corresponds to the launch point. The largest value of the range is when because the sine function has a maximum.

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