PHYS 114 Lecture Notes - Lecture 9: Parabolic Trajectory, Projectile Motion

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X component of a projectile is a constant velocity motion. 0 x t v a x x t( ) = 0 t( ) = v x t( ) = x. Y component of a projectile is a constant acceleration motion. ay t( ) = g vy t( ) = v0 y + ayt. = v0 sin gt y t( ) = y0 + v0 yt + If you jump straight up in a train traveling at a constant velocity, you would land at the same spot on the train. In the reference frame on the train, you just jumped straight up, so there is no horizontal component of initial velocity. In the reference frame on the ground, you are a projectile. The horizontal component of your velocity is the same as the that of the train throughout your jump. So, you and the train would travel the same distance horizontally. A ball is shot from the ground into the air.

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