A weight is attached to a spring suspended from a beam. At timet = 0, it is pulled down to a point 7 cm above the groundand released. After that, it bounces up and down between itsminimum height of 7 cm and a maximum height of 25 cm, and itsheight h(t) is a sinusoidalfunction of time t. It first reaches a maximum height 1.4seconds after starting.
(b) What are the mean, amplitude, phase shift and period forthis function? (Use a phase shift with an absolute value less thanthe period.)
(c) Give four different possible values for the phase shift.(Enter your answers as a comma-separated list.)
(d) Write down a formula for the function h(t) in standardsinusoidal form; i.e. as in the equation shown below.
h(t) = A sin (2pi/B (t-C)) + D
(e) What is the height of the weight after 4.2 seconds?
