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Unformatted text preview: AMS 361: Applied Calculus IV by Prof Y. Deng
Homework 5
Assignment Date: Collection Date:
Grade: Monday (10/11/2010) Thursday (10/21/2010) Quiz2 on 10/28/2010
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. Problem 5.2 A guy 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 is a given constant and ⃗ √ is the magnitude of jumper’s velocity. Please compute the times taken him to land and the landing velocities if he opens the parachute at and after leaving the plane. Problem 5.3 Check if the following three functions are linearly independent: Problem 5.4 Find the general solution of the following equation: Problem 5.5 Find the general solution of the following equation: Problem 5.6 Find the general solution of the following equation 1 ...
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This note was uploaded on 01/31/2011 for the course AMS 361 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.
 Fall '08
 Staff

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