Question

A weight is attached to a spring that hangs from the ceiling of a room. When the weight is pulled down and released, the position of the weight can be modeled using a sine or cosine function. Initially, the weight hangs 40 cm from the floor. It is pulled down 10 cm and released. It takes 0.2 seconds to reach its maximum height above the floor. Find an equation, using either sine or cosine, that gives the height of the weight above the floor (in cm) in terms of time.

Find the:

(a) the amplitude
(b) the period
(c) the vertical shift
(d) the horizontal shift (optional)

(e) sketch a graph

Answer 1