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AMS 361: Applied Calculus IV by Prof Y. Deng
Homework 5
Assignment Date:
Monday (10/11/2010)
Collection Date:
Thursday (10/21/2010) Quiz2 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.
Problem 5.2
A guy jumps out of a horizontally flying plane of speed
at height
. The
horizontal component of the jumper’s initial
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 Fall '08
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 Derivative, Velocity, initial velocity, following equation, Prof Y. Deng

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