The displacement from equilibrium of an object in harmonic motion on the end of a spring is given below, where y is measured in feet and t is the time in seconds. Determine the position y(t) and velocity v(t) of the object when t = π/4.
y = 1/7 cos(6t) − (1/6) sin(6t)
y(π/4) = ft. I know that y=1/6 feet
v(π/4) = ft./sec. What is v??
Calc Question?
2015-08-02 5:15 am
回答 (1)
2015-08-02 6:12 am
✔ 最佳答案
i) y(t) = (1/7) cos(6t) − (1/6) sin(6t)y(pi/4) = (1/7) cos(3pi/2) − (1/6) sin(3pi/2) = 1/6 ft
ii) v(t) = y' = (-6/7)sin(6t) - cos(6t)
v(pi/4) = 6/7 ft/s
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