Question

A pendulum in an antique clock swings above a tabletop. The number of centimeters, C, that the tip of the pendulum is from the tabletop is a function of time, t, in seconds. The function that models the distance of the tip of the pendulum from the tabletop is C(t) = 2(cos 4πt) + 12. How high is the pendulum when t = 1/4 second.

Answer 1

Substitute t=1/4  into C(t) to find the height of the pendulum

$C( \frac{1}{4})=2 Cos (4 \pi ( \frac{1}{4}))+12$
$C( \frac{1}{4})=2cos( \pi )+12$
$C( \frac{1}{4})=2(-1)+12=10$