From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 7.90 m/s and angle of 25.0° 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.) 0 Y₁ = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. Viex V₁₁, y=L (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= X m m/s m/s m m (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. m (f) How long does it take the ball to reach a point 10.0 m below the level of launching?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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 7.90 m/s and angle of 25.0° 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 = 0
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=
Vi, 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 =
X
m
m/s
m/s
m
m
(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.
m
(f) How long does it take the ball to reach a point 10.0 m below the level of launching?
S
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 7.90 m/s and angle of 25.0° 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 = 0 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= Vi, 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 = X m m/s m/s m m (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. m (f) How long does it take the ball to reach a point 10.0 m below the level of launching? S
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