the displacement of a mass suspended on a spring is modeled by the function y=5sin(pi t), where y is measured in inches and t in seconds. the amplitude, period, and frequency of the emotion of the mass are given by .

Question

the displacement of a mass suspended on a spring is modeled by the function y=5sin(pi t), where y is measured in inches and t in seconds. the amplitude, period, and frequency of the emotion of the mass are given  by     .

Mercury · Answer

Answer choices:

a. amplitude=2, period = 2 and frequency = 2
b. amplitude = 5, period = 2, and frequency = 1/2
c. amplitude = 5, period = 1 and frequency = 1
d. amplitude = 5, period = 1/2 and frequency = 2

compare to the general formula y = a(b(x-h)) + k, where |a| is the amplitude, b = 2pi/(period), and frequency = 1/period. h and k are horizontal and vertical shifts, but we don't have them here.

find your a value (amplitude)
find your b-value, and plug into the formula b = 2pi/period to find period
then calculate 1/period to find frequency