Question

Help with Damped functions

Answer 1

A weight is suspended from the ceiling by a steel spring. The weight is pulled downward from its equilibrium position and released. The resulting motion of the weight's distance in inches from equilibrium is described by the function\[A(t)=2e^-2\cos(3t)\], in which t is the time in seconds. Calculate the weight's distance from equilibrium in inches after 0.5 seconds(round to the nearest hundredth).

Answer 2

oops

Answer 3

\[a(t)=2e ^{-t}\cos(3t)\]

Answer 4

would you just fill in .5 for t?

Answer 5

does a(t) stand for the acceleration?

Answer 6

Looking over the notes it seems like it is just a variable they are using instead of f for some reason