Explanation Introduction: A skier with an initial velocity v , as shown in Figure 1, skier launches in air and follow a parabolic path. Figure 1 : Parabolic motion of the skier The initial velocity consists of two components, vertical and horizontal. The horizontal velocity component along x axis is v x = v cos θ and the vertical velocity component is v y = v s i n θ . The horizontal component of velocity after time t : v x = v cos θ The vertical component of velocity after time t : v y = v s i n θ − g t The displacement of the skier along xand ydirectionafter time t : x = v x t = v cos θ × t y = v sin θ × t − 1 2 g t 2 The acceleration of the skier along x and y direction after time t: a x = 0 a y = − g After completing the projectile path when skier comes back to the ground, the vertical displacement is zero, hence equation becomes y = v sin θ × t − 1 2 g t 2 = 0 t =

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ISBN: 9780100265493

Author: Coletta

Publisher: YUZU

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To Prove: h = R 2

Solution Summary: The author explains that a skier with an initial velocity of v launches in air and follows the parabolic path. The horizontal velocity component along x and y direction is zero.

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