In application of 1st order linear differential equation. (a) Determine the expression for the velocity of the body at any time t. If A body weighing 0.5 kg is dropped 200 m above ground with no initial velocity. As it falls, the body encounters a force due to air resistance proportional to its velocity. If the limiting velocity of this body is 320 ft/sec, (b) Find the expression for the position of the body at any time t. Note use the formula in image.
In application of 1st order linear differential equation. (a) Determine the expression for the velocity of the body at any time t. If A body weighing 0.5 kg is dropped 200 m above ground with no initial velocity. As it falls, the body encounters a force due to air resistance proportional to its velocity. If the limiting velocity of this body is 320 ft/sec, (b) Find the expression for the position of the body at any time t. Note use the formula in image.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 2E
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In application of 1st order linear differential equation. (a) Determine the expression for the velocity of the body at any time t. If A body weighing 0.5 kg is dropped 200 m above ground with no initial velocity. As it falls, the body encounters a force due to air resistance proportional to its velocity. If the limiting velocity of this body is 320 ft/sec, (b) Find the expression for the position of the body at any time t. Note use the formula in image.
Transcribed Image Text:dv
m
dt
mg – kv.
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