A 20lb weight hangs from the end of a spring. Jania stretches it downward so that the weight is 8 feet from the top of the system. From there, she releases it (𝑡=0). The weight begins bobbing up and down. When the weight is at its closest to the ground, the weight is 8 feet from the top of the system. When the weight is at its furthest from the ground, the weight is 2 feet from the top of the system. The weight continues bobbing up and down, completing 20 cycles of the pattern every 60 seconds. The distance between the weight and the top of the system 𝑡 seconds after the weight is released can be modelled by a sinusoidal function ℎ𝑡.
Skim the first couple lines for context, but then skip to the end to see what ℎ𝑡 represents.
Reread for ℎ𝑡 values
Maximum
Minimum
Midline
Amplitude
Reread for 𝑡-values
At least one point
Period or Frequency