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, its speed is 0 feet per second. 1.5 seconds later, the weight is at its furthest from the ground, and its speed is again 0 feet per second. But when the weight is halfway between those points, it reaches its maximum speed of 6 feet per second. The speed of the weight 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