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=

Question

Mathematics

Shyann Lucero

21 February, 12:44

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=

+1

Answers (2)

Know the Answer?

Drew Wright · Answer 1

Step-by-step 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)

Alan · Answer 2

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