From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 9.10 m/s and angle of 25.0o 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; = Y; = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. "i, x=| Vi, y=| 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 =

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.3P: If a projectile is fired from the origin of the coordinate system with an initial velocity υ0 and in...
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From the window of a building, a ball is tossed from a height y, above the ground with an initial velocity of 9.10 m/s and angle of 25.0° 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.)
X; =
Y; =
(b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity.
V
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.)
X =
m
y =
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 y, above the ground with an initial velocity of 9.10 m/s and angle of 25.0° 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.) X; = Y; = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. V 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.) X = m y = 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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