A boat is tied up at a dock and bobs up and down. The vertical distance between its high and low point is 1.8 m and the cycle is repeated every 4s.
a) Determine a sine equation to model the vertical position, in metres, of the boat versus the time, in seconds.
b) Use your model to determine when, during each cycle, the boat is 0.5 above its mean position. Round your answers to the nearest hundreth of a second.
y= a sin (k(x-d))+c
Period Length = 2 pi/k
a = amplitude
k = horizonatl stretch/compression
d= horizontal translation
c= vertical translation
The Attempt at a Solution
Not sure If I am correct so far, but I found the amplitude and k value.
A=0.9 (Divided 1.8 by 2) and K = pi/2 ( I found that doing PL = 2pi/k)
Not sure how to get d or c though.
Would appreciate any help. Thanks