Zontini the Amazing Hypnotist is hypnotizing a volunteer at a performance by swinging a pocket watch back and forth in front of her face. The pocket watch’s current distance from center in centimetres in terms of time is modelled by the equation d(x)=7sin (360s) . If Zontini the Amazing Hypnotist were to swing the watch twice as fast, covering the same distance a) What is the new period?

b) Write a new equation that models the distance of the pocket watch.