Lesson 1.4 Motion in Two Dimensions

# Lesson 1.4 Motion in Two Dimensions - PROJECTILE MOTION 1 A...

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PROJECTILE MOTION 1. A projectile launched into space constitutes motion in two dimensions. 2. A projectile moves in the x and y-directions simultaneously. 3. A projectile may be launched horizontally or at an angle θ with the horizontal. v x v x v x v x v x v x v y v y v y v y v y Horizontal projectile Projectile at an angle 1

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HORIZONTAL PROJECTION The horizontal velocity v x remains a constant. A horizontal projectile has a horizontal motion and a vertical motion The horizontal and vertical motions are independent of each other v x v x v x v x v x v x v y v y v y v y v y vertical motion horizontal motion v y = 0 2
v x v x v x v x v x v x v y v y v y v y v y vertical motion horizontal motion v y = 0 The vertical velocity v y increases downward like that of a free-falling object. The initial vertical velocity v yo = 0 The acceleration in the vertical direction is –g ms -2 . v y = -gt v = v x i – gt j 3

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1 2 Two balls are held at the same height from the ground. If ball 1 is dropped and ball 2 is projected horizontally with a velocity v x , which will fall on the ground first? Does the illustration answer this question? The vertical motion of the dropped ball and the vertical motion of the horizontally projected ball are identical. The vertical velocity in both cases is v y = -gt They fall at the same time. 4
Watch the horizontal and vertical motions of the horizontally projected ball.

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