ucf09-005

This problem is from Professor Addison's Fall 1974 Math 1A midterm: A giddily gleeful witch, elated over passing her Mathematics 1A midterm examination, hurls a somewhat overripe pumpkin directly upward from the ground. It moves according to the law \( s(t) = 96t - 16t^{2} \), where \( t \) is the time in seconds after it is thrown and \( s(t) \) is its height in feet above the ground at time \( t \). Find:

1. the velocity of the pumpkin after 1.5 seconds;
2. the maximum height the pumpkin reaches;
3. the average speed of the pumpkin during its upward rise;
4. the acceleration of the pumpkin at its maximum height;
5. the rate of change of the acceleration of the pumpkin after 4 secs.

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Tags: ucf06-004

This is a duplicate of ucf06-004. – Eric Hsu 2008-07-16 20:43