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

A weight is attached to a spring suspended from a beam. At time t = 0, it is pulled down to a point 7 cm above the ground and released. After that, it bounces up and down between its minimum height of 7 cm and a maximum height of 25 cm, and its height h(t) is a sinusoidal function of time t. It first reaches a maximum height 1.4 seconds after starting.

(b) What are the mean, amplitude, phase shift and period for this function? (Use a phase shift with an absolute value less than the 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 standard sinusoidal 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?

Expert Solution

genius_generous answered 6 months ago

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