Aweight is attached to a spring that is oscillating up and down. it takes 3 sec. for the spring to complete one cycle, and the distance from the highest to lowest point is 4 in. what equation models the position of the weight at time t seconds?

a. y=2sin(pi/3 t)

b. y=4sin(pi/3 t)

c. y=2sin(2pi/3 t)

d. y=4sin(2pi/3 t)

e. y=2sin(3pit)

f. y=4sin(3pit)

Option C.

Step-by-step explanation:

The equation that models the position of the weight and time will be a sine wave.

y = A sin(bt)

where A = amplitude of the wave

b = time period for a complete oscillation

Since b =

It has been given in the question, Time period t = 3 sec.

b =

Amplitude A = 2 in.

Now we plug in the values of amplitude and time period in the standard equation.

y =

y =

Option C. is the answer.

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