6. From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 6.50 m/s and angle of 25.0° below the horizontal. It strikes the ground 4.00 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? (b) With the positive x- direction chosen to be out the window, find the x- and y-components of the initial velocity. (c) Find the equations for the x- and y-components of the position as functions of time. (d) How far horizontally from the base of the building does the ball strike the ground? (e) Find the height from which the ball was thrown. (f) How long does it take the ball to reach a point 12.0 m below the level of launching?

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Chapter1: Units, Trigonometry. And Vectors
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6. From the window of a building, a ball is tossed from a height yo above the ground with an
initial velocity of 6.50 m/s and angle of 25.0° below the horizontal. It strikes the ground 4.00
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? (b) With the positive x-
direction chosen to be out the window, find the x- and y-components of the initial velocity.
(c) Find the equations for the x- and y-components of the position as functions of time. (d)
How far horizontally from the base of the building does the ball strike the ground? (e) Find
the height from which the ball was thrown. (f) How long does it take the ball to reach a point
12.0 m below the level of launching?
Transcribed Image Text:6. From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 6.50 m/s and angle of 25.0° below the horizontal. It strikes the ground 4.00 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? (b) With the positive x- direction chosen to be out the window, find the x- and y-components of the initial velocity. (c) Find the equations for the x- and y-components of the position as functions of time. (d) How far horizontally from the base of the building does the ball strike the ground? (e) Find the height from which the ball was thrown. (f) How long does it take the ball to reach a point 12.0 m below the level of launching?
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