First correct answer gets best answer!!! (:
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First correct answer gets best answer!!! (:

[From: ] [author: ] [Date: 12-03-30] [Hit: ]
v(pi/2) ft/sec=?-If y(t) = 1/2 cos(3t) - 1/6 sin(3t) is displacement,so v(t) = -3/2*sin(3t) - 1/2*cos(3t).= 3/2 = 1.5 feet/second.-45.......
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 velocity v(t) of the object when t = π/2.

y= 1/2 cos (3t) - 1/6 sin (3t)
v(pi/2) ft/sec=?

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If y(t) = 1/2 cos(3t) - 1/6 sin(3t) is displacement, velocity is

dy/dt = 3*(1/2)*-sin(3t) - 3*(1/6)*cos(3t)

so v(t) = -3/2*sin(3t) - 1/2*cos(3t).

Let t = pi/2:

v(pi/2) = -3/2*sin(3*pi/2) - 1/2*cos(3*pi/2)

= -3/2*-1 - 1/2*0

= 3/2 = 1.5 feet/second.

-
45.227 ft /s
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