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A steel ball weighing 1lb is dropped from 2500 ft. with no velocity. As it falls, air resistance is equal to v/8 in pounds where v is the velocity of the ball in feet per second. Find the limiting velocity and the time it takes for the ball to hit the ground.

A steel ball weighing 1lb is dropped from 2500 ft. with no velocity. As it falls, air resistance is equal to v/8 in pounds where v is the velocity of the ball in feet per second. Find the limiting velocity and the time it takes for the ball to hit the ground.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A steel ball weighing 1lb is dropped from 2500 ft. with no velocity. As it falls, air resistance is equal to v/8 in pounds where v is the velocity of the ball in feet per second. Find the limiting velocity and the time it takes for the ball to hit the ground.
Transcribed Image Text:A steel ball weighing 1lb is dropped from 2500 ft. with no velocity. As it falls, air resistance is equal to v/8 in pounds where v is the velocity of the ball in feet per second. Find the limiting velocity and the time it takes for the ball to hit the ground.
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