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16 Mar 2020
Flight of a Rocket Suppose a rocket is fired upward from the surface of the earth with an initial velocity
(measured in meters per second). Then the maximum height
(in meters) reached by the rocket is given by the function
![](data:image/png;base64,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)
where
m is the radius of the earth and
m/s2 is the acceleration due to gravity. Use a graphing device to draw a graph of the function
. (Note that
and
must both be positive, so the viewing rectangle need not contain negative values.) What does the vertical asymptote represent physically?
Flight of a Rocket Suppose a rocket is fired upward from the surface of the earth with an initial velocity (measured in meters per second). Then the maximum height
(in meters) reached by the rocket is given by the function
where m is the radius of the earth and
m/s2 is the acceleration due to gravity. Use a graphing device to draw a graph of the function
. (Note that
and
must both be positive, so the viewing rectangle need not contain negative values.) What does the vertical asymptote represent physically?
Trinidad TremblayLv2
22 May 2020