A spring is hanging from a ceiling. The length L(t)L(t)L, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) of the spring as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\sin(b\cdot t)+da⋅sin(b⋅t)+da, dot, sine, left parenthesis, b, dot, t, right parenthesis, plus, d.
At t=0t=0t, equals, 0, when the spring is exactly in the middle of its oscillation, its length is 7\text{ cm}7 cm7, start text, space, c, m, end text. After 0.50.50, point, 5 seconds the spring reaches its maximum length, which is 12\text{ cm}12 cm12, start text, space, c, m, end text.