Question

The displacement from equilibrium of an object in harmonic motion on the end of a spring is:

y= (1/3)cos12t-(1/4)sin12t

where y is measured in feet and t is the time in seconds. Determine the position and velocity of the object when t= (pi/8) ?

Answer 1

@DemolisionWolf

Answer 2

please help

Answer 3

@dumbcow

Answer 4

@jdoe0001

Answer 5

@kelliegirl33 @RBauer4

Answer 6

i got this far f(x) = g(x)h(x)
f(x)' = g(x)' (h(x)) + h(x)' (g(x))

f(x) = (1/3)cos12t-(1/4)sin12t

g(x) = (1/3)cos12t-(1/4) -- You have to apply chain rule to this function when finding the derivative

h(x) = sin12t

f(x)' = -(1/3)sin(12t - (1/4) * ( 12) *(sin12t) +
(cos12t)(12)*((1/3)cos12t-(1/4))