A weight 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?

Question

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[3pi(t)]****
f. y=4sin[3pi(t)]

Answer 1

I does 2 pi radians in a period

well sin 2pi t/T is sin 2 pi t/3
amplitude = 2
so
2 sin 2 pi t/3
I choose c

Answer 2

Correct