A 2 foot long spring is suspended from the ceiling. To this
spring we attach a 32 lb weight that stretches the spring 1.99 feet
into an equilibrium position. At time t = 0 we pull on the string
and stretch it another 8 inches before releasing it. The friction
in the spring gives rise to a damping force of 1lb with a velocity
of 24 inches/second.
At what time will the ball be closest to the ceiling?
A. t = pi/2
B. t =1
C. t = pi/4
D. t = 1/2
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