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:
- the velocity of the pumpkin after 1.5 seconds;
- the maximum height the pumpkin reaches;
- the average speed of the pumpkin during its upward rise;
- the acceleration of the pumpkin at its maximum height;
- the rate of change of the acceleration of the pumpkin after 4
secs.
Tags: limits-definition-and-notation, rational, math-language, computation, exam-UC, a--a, t1, c2
Previous exam problems from professors are a great way to keep students on task.
– Jeff Barton 1998-08-09