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A certain slug is fired and its position is described by the following equation in x and y direction: x=10t ; y=2+9t-5t^2. If the target of the slug is 2m above the ground, what is the speed of the slug when it hits the target.

A certain slug is fired and its position is described by the following equation in x and y direction: x=10t ; y=2+9t-5t^2. If the target of the slug is 2m above the ground, what is the speed of the slug when it hits the target.

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 certain slug is fired and its position is described by the following equation in x and y direction: x=10t ; y=2+9t-5t^2. If the target of the slug is 2m above the ground, what is the speed of the slug when it hits the target.
Transcribed Image Text:A certain slug is fired and its position is described by the following equation in x and y direction: x=10t ; y=2+9t-5t^2. If the target of the slug is 2m above the ground, what is the speed of the slug when it hits the target.
A certain slug is fired and its position is described by the following equation in x and y direction: x=10t; y=2+9t-5t^2. If the target of the slug is 2m above the ground, find how far away the target should be if the slug is to hit it. Clue: The slug will hit the target at y=2 *
Transcribed Image Text:A certain slug is fired and its position is described by the following equation in x and y direction: x=10t; y=2+9t-5t^2. If the target of the slug is 2m above the ground, find how far away the target should be if the slug is to hit it. Clue: The slug will hit the target at y=2 *
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