Question

Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a

horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=

Answer 1

there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25

Explanation:

Answer 2

Explanation:

amplitude of oscillation a = 12 / 2 = 6 inches.

time period T = 2 s

b = angular frequency = 2π / T

= 2π / 2

= π

so putting the values in the equation

d = a cos ( b t )

d = 6 cos ( π t )