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A woman stands at the edge of a cliff and throws a pebble horizontally over the edge with a speed of vo = 21.5 m/s. The pebble leaves her hand at a height of h = 56.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the pebble leaves the hand. (a) What are the coordinates of the initial position of the pebble? (Enter your answers in m.) хо Yo = 0 58 m (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox Oy 21.5 0 m/s m/s (c) Write the equations for the x- and y-components of the velocity of the pebble with time. (Use the following as necessary: t. Assume that 21.5 m/s -9.80t m/s and x are in m/s and t is in seconds. Do not include units in your answers.) Vy (d) Write the equations for the position of the pebble with time, using the coordinates in the figure. (Use the following as necessary: t. Assume that x and y are in meters and t is in seconds. Do not include units in your answers.) 21.5t y = 56.0 What is the acceleration? What is its direction? What equation relates the y-displacement to the acceleration in the y-direction, the initial velocity in the y-direction, and the time? m

A woman stands at the edge of a cliff and throws a pebble horizontally over the edge with a speed of vo = 21.5 m/s. The pebble leaves her hand at a height of h = 56.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the pebble leaves the hand. (a) What are the coordinates of the initial position of the pebble? (Enter your answers in m.) хо Yo = 0 58 m (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox Oy 21.5 0 m/s m/s (c) Write the equations for the x- and y-components of the velocity of the pebble with time. (Use the following as necessary: t. Assume that 21.5 m/s -9.80t m/s and x are in m/s and t is in seconds. Do not include units in your answers.) Vy (d) Write the equations for the position of the pebble with time, using the coordinates in the figure. (Use the following as necessary: t. Assume that x and y are in meters and t is in seconds. Do not include units in your answers.) 21.5t y = 56.0 What is the acceleration? What is its direction? What equation relates the y-displacement to the acceleration in the y-direction, the initial velocity in the y-direction, and the time? m

Glencoe Physics: Principles and Problems, Student Edition
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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A woman stands at the edge of a cliff and throws a pebble horizontally over the edge with a speed of vo = 21.5 m/s. The pebble leaves her hand at a height of h = 56.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the pebble leaves the hand. (a) What are the coordinates of the initial position of the pebble? (Enter your answers in m.) хо Yo = 0 58 m (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox Oy 21.5 0 m/s m/s (c) Write the equations for the x- and y-components of the velocity of the pebble with time. (Use the following as necessary: t. Assume that 21.5 m/s -9.80t m/s and x are in m/s and t is in seconds. Do not include units in your answers.) Vy (d) Write the equations for the position of the pebble with time, using the coordinates in the figure. (Use the following as necessary: t. Assume that x and y are in meters and t is in seconds. Do not include units in your answers.) 21.5t y = 56.0 What is the acceleration? What is its direction? What equation relates the y-displacement to the acceleration in the y-direction, the initial velocity in the y-direction, and the time? m
Transcribed Image Text:A woman stands at the edge of a cliff and throws a pebble horizontally over the edge with a speed of vo = 21.5 m/s. The pebble leaves her hand at a height of h = 56.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the pebble leaves the hand. (a) What are the coordinates of the initial position of the pebble? (Enter your answers in m.) хо Yo = 0 58 m (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox Oy 21.5 0 m/s m/s (c) Write the equations for the x- and y-components of the velocity of the pebble with time. (Use the following as necessary: t. Assume that 21.5 m/s -9.80t m/s and x are in m/s and t is in seconds. Do not include units in your answers.) Vy (d) Write the equations for the position of the pebble with time, using the coordinates in the figure. (Use the following as necessary: t. Assume that x and y are in meters and t is in seconds. Do not include units in your answers.) 21.5t y = 56.0 What is the acceleration? What is its direction? What equation relates the y-displacement to the acceleration in the y-direction, the initial velocity in the y-direction, and the time? m
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