Maximum Height of a Ball On July 1,2004, the Cassini probe
Chapter , Problem 3.3.66(choose chapter or problem)
Maximum Height of a Ball On July 1,2004, the Cassini probe became the first spacecraft to orbit the planet Saturn. Although Saturn is about 764 times the size of Earth, it has a very similar gravitational force. The height s of an object thrown upward from Saturn's surface with an initial velocity of 100 feet per second is given as a function of time t (in seconds) by s(t) = -17.28t2 + lOOt. (a) Use a graphing utility to graph s = s(t). (b) Determine the time at which height is a maximum. (c) What is the maximum height? (d) The same object thrown from the surface of Earth would have a height given by s(t) = -16t2 + lOOt. Determine the maximum height of the object on Earth and compare this to your result from part (c).
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