undefined Solution To Determine: The best path in the drawing and the best path of the box as seen by a person standing on the ground. Solution: The best path that describes trajectory, according to the figure given in your textbook, of the box is a path (d). Explanation: Given: Helicopter is moving at constant speed in a horizontal direction. Formula used: The horizontal distance x is defined as: x = v o x t ... ( 1 ) Where: v o is the initial speed t is the time elapsed While that, the vertical distance y is defined as: y = v o y t + 1 2 g t 2 ... ( 2 ) Where: g is the acceleration due to gravity. t is the time elapsed. Calculations: The object is dropped from a moving helicopter at a constant speed.This means that when the object is released, it shares the initialspeed of the helicopter in a horizontal direction. Now, the box moves with velocity of a constant horizontal speed v o x and accelerates vertically downwards by the action of gravity. When these two velocities are combined, the box moves in a parabolic trajectory. In effect, isolating t from equation (1): t = x v o x ... ( 3 ) Now, substitute (3) into equation (2): y = 0 + 1 2 g t 2 y = 1 2 g ( x v o x ) 2 Therefore, the box is moving in a parabolic trajectory. Conclusion: The best path that describes the trajectory of the box is a path (d).

7th Edition

ISBN: 9780321625922

Author: Douglas C. Giancoli

Publisher: Addison-Wesley

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A small heavy box of emergency supplies is dropped from a moving helicopter at point A as it flies at constant speed in a horizontal direction. Which path in the drawing below best describes the path of the box (neglecting air resistance) as seen by a person standing on the ground?

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