SOLUTION: Assume that the simple harmonic motion of a spring is described by the equation {{{S=4cos (pi*t/2)}}} where {{{S}}} is in cm and {{{t}}} is in seconds. When during the time, 0 to

Algebra ->  Trigonometry-basics -> SOLUTION: Assume that the simple harmonic motion of a spring is described by the equation {{{S=4cos (pi*t/2)}}} where {{{S}}} is in cm and {{{t}}} is in seconds. When during the time, 0 to      Log On


   



Question 1103942: Assume that the simple harmonic motion of a spring is described by the equation
S=4cos+%28pi%2At%2F2%29 where S is in cm and t is in seconds. When during the time, 0 to 8 seconds, is the spring passing through the origin?

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
S = 0 every time when %28pi%2At%29%2F2 = pi%2F2, 3pi%2F2, 5pi%2F2, 7pi%2F2,  which corresponds to values of t = 1, 3, 5, 7 seconds.


Answer.  S = 0  at  t = 1 second,  3 seconds,  5 seconds  and  7 seconds in the interval from 0 to 8 seconds.