The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1/4cos6t where y is the displacement in feet and t is the time in seconds. Find the displacement when (a) t=0, (b) t=1/4, (c) t=1/2.
+23254 Substitute the various value for t in the equation; y(t) = (1/4)cos(6t) cos is in radians
t = 0: y(0) = (1/4)cos(6·0) ---> (1/4)cos(0) ---> 1 ft
t = 1/4: y(1/4) = (1/4)cos(6·1/4) ---> (1/4)cos(1.5) ---> .0176 ft
t = 1/2: y(1/2) = (1/2)cos(6·1/2) ---> (1/4)cos(3) --->
+23254 Substitute the various value for t in the equation; y(t) = (1/4)cos(6t) cos is in radians
t = 0: y(0) = (1/4)cos(6·0) ---> (1/4)cos(0) ---> 1 ft
t = 1/4: y(1/4) = (1/4)cos(6·1/4) ---> (1/4)cos(1.5) ---> .0176 ft
t = 1/2: y(1/2) = (1/2)cos(6·1/2) ---> (1/4)cos(3) --->
