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Homework-5-f10_Sol

# Homework-5-f10_Sol - AMS 361 Applied Calculus IV by Prof Y...

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1 AMS 361: Applied Calculus IV by Prof Y. Deng Homework 5 Assignment Date: Monday (10/11/2010) Collection Date: Thursday (10/21/2010) Quiz-2 on 10/28/2010 Grade: Each problem is worth 10 points. Problem 5.1 Suppose that a projectile is fired straight upward from the surface of the earth with initial velocity and assume its height ( ) above the surface satisfies the initial value problem { ( ) ( ) ( ) Compute the maximum altitude the projectile reaches and the time (from launch) for the projectile to reach the maximum altitude. In the above, are all given constants. ( ) ( ) ∫( ( ) ) Solve c using ( ) ( ) ( ) ( ) ( ) ( ) ( ) This gives us the implicit answer for y max

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2 Solve for T ( ) ( ) ( ) ( ) Implicit solution ( ) ( ) Problem 5.2 A guy (of body mass ) jumps out of a horizontally flying plane of speed at height . The horizontal component of the jumper’s initial velocity is equal to that of the plane’s and the jumper’s initial vertical speed can be regarded as The air resistance is with the parachute open where

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Homework-5-f10_Sol - AMS 361 Applied Calculus IV by Prof Y...

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