From the window of a building, a ball is tossed from a height y, above the ground with an initial velocity of 8.10 m/s and angle of 21.0° 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. Vi, 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: y, and t. Assume SI units.) y = m (d) How far horizontally from the base of the building does the ball strike the ground?
From the window of a building, a ball is tossed from a height y, above the ground with an initial velocity of 8.10 m/s and angle of 21.0° 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. Vi, 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: y, and t. Assume SI units.) y = m (d) How far horizontally from the base of the building does the ball strike the ground?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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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 8.10 m/s and angle of 21.0° 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.
Vi, 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: y, and t. Assume SI units.)
y =
m
(d) How far horizontally from the base of the building does the ball strike the ground?
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