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April 21, 2014

Homework Help: Calc

Posted by Michael on Sunday, February 24, 2008 at 4:55pm.

A rocket is launched with an initial velocity of zero, and with acceleration in feet per second per second defined by:

--------( 20e^(-t/2), for 0 <= t <= 10 seconds)
a(t) = (
--------( -16, for t > 10 seconds)

a) At what time does the rocket begin to descend?

b) How high does the rocket reach?

c) What is the velocity when the rocket impacts the earth?

d) Write a formula for the position of the rocket with respect to time for t > 10 seconds.

Thanks!

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