A wooden horse on a merry-go-round moves 12 inches above and 12 inches below its center position. It takes the horse 10 seconds to make 1 complete up-and-down movement
a. Write an equation that gives the horse’s vertical position y at time t if the horse is at its center position when t=0.
The form of an equation is: y = a sin ( b t ) , because it is at its center position when t = 0. a = 12 ( amplitude ); T = 2π / b ( period ) 10 = 2 π / b b = 2 π / 10 b = π / 5 Answer: y = 12 · sin ( π/5 · t )
