From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 8.90 m/s and angle of 23.0° below the horizontal. It strikes the ground 6.00 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 valuess use variables only.) x₁= Y₁-

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 8.90 m/s and angle of 23.0° below the horizontal. It strikes the ground 6.00 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 =
Y;=
(b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity.
Vix=
m/s
m/s
(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.)
y=
וח
m
(d) How far horizontally from the base of the building does the ball strike the ground?
m
(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 8.90 m/s and angle of 23.0° below the horizontal. It strikes the ground 6.00 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 = Y;= (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. Vix= m/s m/s (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.) y= וח m (d) How far horizontally from the base of the building does the ball strike the ground? m (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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