A pendulum in an antique clock swings above a tabletop. The number of centimeters, C, that the tip of the pendulum is from the t

Question

3 years ago

14

A pendulum in an antique clock swings above a tabletop. The number of centimeters, C, that the tip of the pendulum is from the t

abletop 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.

Mathematics

1 answer:

Galina-37 [17] · Answer 1 · 2022-02-15T07:30:15+03:00

Galina-37 [17]3 years ago

8 0

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

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