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A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo = 17.5 m/s. The rock leaves his hand at a height of h = 43.0 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 rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) m = Yo = (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox m/s Voy m/s (c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that v, and v, are in m/s andt is in seconds. Do not include units in your answers.) Vy = m/s Vy m/s (d) Write the equations for the position of the rock 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.) X = y = m (e) How long (in s) after being released does the rock strike the ground below the cliff? (f) With what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the rock land? m/s ° clockwise from the +x-axis

A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo = 17.5 m/s. The rock leaves his hand at a height of h = 43.0 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 rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) m = Yo = (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox m/s Voy m/s (c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that v, and v, are in m/s andt is in seconds. Do not include units in your answers.) Vy = m/s Vy m/s (d) Write the equations for the position of the rock 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.) X = y = m (e) How long (in s) after being released does the rock strike the ground below the cliff? (f) With what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the rock land? m/s ° clockwise from the +x-axis

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
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A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo = 17.5 m/s. The rock leaves his hand at a height of h = 43.0 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 rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) m = Yo = (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox m/s Voy m/s (c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that v, and v, are in m/s andt is in seconds. Do not include units in your answers.) Vy = m/s Vy m/s (d) Write the equations for the position of the rock 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.) X = y = m (e) How long (in s) after being released does the rock strike the ground below the cliff? (f) With what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the rock land? m/s ° clockwise from the +x-axis
Transcribed Image Text:A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo = 17.5 m/s. The rock leaves his hand at a height of h = 43.0 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 rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) m = Yo = (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox m/s Voy m/s (c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that v, and v, are in m/s andt is in seconds. Do not include units in your answers.) Vy = m/s Vy m/s (d) Write the equations for the position of the rock 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.) X = y = m (e) How long (in s) after being released does the rock strike the ground below the cliff? (f) With what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the rock land? m/s ° clockwise from the +x-axis
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