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From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 7.80 m/s and angle of 21.0° below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: Yo. Assume SI units. Do not substitute numerical values; use variables only.) x₁ = Y₁ = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. V₁ Vi, x V₁, y = (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: Yo and t. Assume SI units.) X = y = m/s m/s m m (d) How far horizontally from the base of the building does the ball strike the ground? m m (e) Find the height from which the ball was thrown. (f) How long does it take the ball to reach a point 10.0 m below the level of launching? S

From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 7.80 m/s and angle of 21.0° below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: Yo. Assume SI units. Do not substitute numerical values; use variables only.) x₁ = Y₁ = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. V₁ Vi, x V₁, y = (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: Yo and t. Assume SI units.) X = y = m/s m/s m m (d) How far horizontally from the base of the building does the ball strike the ground? m m (e) Find the height from which the ball was thrown. (f) How long does it take the ball to reach a point 10.0 m below the level of launching? S

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
Chapter2: Vectors
Section: Chapter Questions
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From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 7.80 m/s and angle of 21.0° below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: Yo. Assume SI units. Do not substitute numerical values; use variables only.) X¡ = Y₁ = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. Vi,x= (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: Yo and t. Assume SI units.) X = y = m/s m/s m m (d) How far horizontally from the base of the building does the ball strike the ground? m S (e) Find the height from which the ball was thrown. m (f) How long does it take the ball to reach a point 10.0 m below the level of launching?
Transcribed Image Text:From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 7.80 m/s and angle of 21.0° below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: Yo. Assume SI units. Do not substitute numerical values; use variables only.) X¡ = Y₁ = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. Vi,x= (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: Yo and t. Assume SI units.) X = y = m/s m/s m m (d) How far horizontally from the base of the building does the ball strike the ground? m S (e) Find the height from which the ball was thrown. m (f) How long does it take the ball to reach a point 10.0 m below the level of launching?
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