PROJECTILE MOTION tutorial

# PROJECTILE MOTION tutorial - PROJECTILE MOTION EVERYTHING...

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PROJECTILE MOTION, EVERYTHING YOU NEED TO KNOW Projectile motion is a special case of two- dimensional constant acceleration. It is special because the horizontal or x-component of acceleration can be approximated as zero. The vertical or y-component of acceleration is approximated as g . The initial x-position is defined as zero (x 0 = 0). The direction or the trajectory angle θ is defined with respect to the horizontal. θ is positive if the object is rising, it is zero if it is moving horizontally, and it is negative if it is falling. For θ 0 > 0, we define the positive y-axis as up: y and a y = g = -g If 0 θ 0, then y and a y = g = + g. v x 0 = v 0 cos 0 θ and v y 0 = v 0 sin 0 θ where v 0 is the initial speed and 0 θ is the initial projection angle. (1) x = v x 0 t Horizontal position as a function of time (2) y = y 0 + v y 0 t + 1/2 g t 2 Vertical position as a function of time (3) v y = v y 0 + g t Vertical velocity as a function of time (4) v y 2 = v y 0 2 + 2 y g Scalar or time independent equation (5) y = 1/2 ( v y 0 + v y

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