Starting at its rightmost position, it takes 2 seconds for the pendulum of a grandfather clock to swing a horizontal distance of 18 inches from right to left and 2 seconds for the pendulum to swing back from left to right. Which of the following equations models d, the horizontal distance in inches of the pendulum from the center as a function of time, t, in seconds? Assume that right of center is a positive distance and left of center is a negative distance.
Answer
A
d = 9 cosine (StartFraction pi Over 4 EndFraction t)
B
d = 9 cosine (StartFraction pi Over 2 EndFraction t)
C
d = 18 cosine (StartFraction pi Over 4 EndFraction t)
D
d = 18 cosine (StartFraction pi Over 2 EndFraction t)