period = T = 60 seconds/26 = 30/13
f = 1/T = 13/30
A = 3.9 cm
y = -3.9 cos (2 pi t/T)
because y = -3.9 when t = 0
y = - 3.9 cos (26 pi t/30)
A bath toy is floating stationary in water such that half of the toy is above water and half of the toy is below the water. A kid pulls the toy 3.9 cm down into the water and then lets go. The toy then proceeds to bob up and down. It bobs up and down 26 times in a minute.
NOTE: Let up be positive and down be negative for this problem
(a) What is the Period of the motion?
(b) What is the frequency of the motion?
(c) What is the Amplitude of the motion?
(d) What is the equation that describes the position of the object at any given time?
1 answer
1 answer