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

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 7OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...
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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 2 .

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