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A weight is attached to a spring suspended from a beam. At time t = 0,...

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Physics

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?

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