1. A body of mass 10 slugs is dropped from a height of 1000 ft with an initial velocity of 2 feet per second. The body encounters an air resistance proportional to its velocity. If the limiting velocity is known to be 20 ft/sec, find (a) an expression for the velocity of the body at any time t, (b) an expression for the position of the body at any time t, (c) the velocity of the body after 1 second, (d) the time required for the body to attain a velocity of 5 ft/sec, and (e) the time when the body is halfway between its initial position and the ground. Use g = 32 fps?. %3D

Sustainable Energy
2nd Edition
ISBN:9781337551663
Author:DUNLAP, Richard A.
Publisher:DUNLAP, Richard A.
Chapter18: Energy Storage
Section: Chapter Questions
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1. A body of mass 10 slugs is dropped from a height of 1000 ft with an initial velocity of
2 feet per second. The body encounters an air resistance proportional to its velocity.
If the limiting velocity is known to be 20 ft/sec, find (a) an expression for the velocity
of the body at any time t, (b) an expression for the position of the body at any time t,
(c) the velocity of the body after 1 second, (d) the time required for the body to attain
a velocity of 5 ft/sec, and (e) the time when the body is halfway between its initial
position and the ground. Use g = 32 fps?.
Transcribed Image Text:1. A body of mass 10 slugs is dropped from a height of 1000 ft with an initial velocity of 2 feet per second. The body encounters an air resistance proportional to its velocity. If the limiting velocity is known to be 20 ft/sec, find (a) an expression for the velocity of the body at any time t, (b) an expression for the position of the body at any time t, (c) the velocity of the body after 1 second, (d) the time required for the body to attain a velocity of 5 ft/sec, and (e) the time when the body is halfway between its initial position and the ground. Use g = 32 fps?.
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