A weight is attached to a spring suspended from a beam. At time t = 0, it is pulled down to a point 11 cm above the ground and released. After that, it bounces up and down between its minimum height of 11 cm and a maximum height of 27 cm, and its height h(t) is a sinusoidal function of time t. It first reaches a maximum height 0.8 seconds after starting.
What are the mean, amplitude, phase shift and period for this function? (Use a phase shift with an absolute value less than the period.)
Give four different possible values for the phase shift. (Enter your answers as a comma-separated list.)
During the first 10 seconds, how many times will the weight be
exactly 21 cm above the floor? (Note: This problem does not require
inverse trigonometry.)
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