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).

Answer 1

Answer: b is pi and the period is 2

Answer 2

 For the answer to the question above, asking to 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).T = 2s ------> f = 1/T = 0.5 Hz -----> ω = 2πf = π radians/sec 
A = 6" 
d(t) = 6"cos(πt)