The displacement from equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given by y(t) = (1/4)e^-t cos6t, where y is the displacement in feet and t is the time in seconds. Find the displacement when t is equal to 0.

Question

Would this be 1/4?

Answer 1

anything^0 = 1
cos 0 = 1
so
(1/4) (1)(1) = 1/4