A giddily gleeful student, elated over passing a Calculus
408C examination, hurls a somewhat large calculus book 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 the height
in feet above the ground at time $t$. Find:
- the velocity of the book after 1.5 seconds;
- the maximum height the book reaches;
- the average speed of the book during its upward rise;
- the acceleration of the book at its maximum height;
- the rate of change of the acceleration of the book after 4 seconds;
- the time it would take for the 6 ft. tall student to have the
misfortune of being hit on the head by the book.
Tags: velocity, physics-application, acceleration, quadratic, computation, word-problem, t1, c1, ucf06-004
This is a slightly different version of ucf06-004. – Eric Hsu 2008-07-16 20:46