A stone is thrown from a rooftop at time t = 0 seconds. Its position at timet is given by F(t) = (7t,-31, 19.6 – 4.91²). %3D The origin is at the base of the building, which is standing on flat ground. Distance is measured in meters. The vector i points east, j points north, and k points up. (a) How high is the rooftop? meters. (b) When does the stone hit the ground? seconds. (c) At what point (in R') does the stone hit the ground? (in meters) (d) How fast is the stone moving when it hits the ground? (in meters per second)

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 129CP: In a later chapter, you will find that the weight of a particle varies with altitude such that...
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A stone is thrown from a rooftop at time t = 0 seconds. Its
%3D
position at timet is given by
F(t) = (7t,-31, 19.6 – 4.91).
%3D
The origin is at the base of the building, which is standing on flat ground.
Distance is measured in meters. The vector i points east, j points north,
and k points up.
(a) How high is the rooftop?
meters.
(b) When does the stone hit the ground?
seconds.
(c) At what point (in R') does the stone hit the ground?
(in meters)
(d) How fast is the stone moving when it hits the ground?
(in meters per second)
Transcribed Image Text:A stone is thrown from a rooftop at time t = 0 seconds. Its %3D position at timet is given by F(t) = (7t,-31, 19.6 – 4.91). %3D The origin is at the base of the building, which is standing on flat ground. Distance is measured in meters. The vector i points east, j points north, and k points up. (a) How high is the rooftop? meters. (b) When does the stone hit the ground? seconds. (c) At what point (in R') does the stone hit the ground? (in meters) (d) How fast is the stone moving when it hits the ground? (in meters per second)
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