5. To model the motion of the child on the swing, Melissa determined that she could use the equation d(t) = 1.6 cos + 2.2, where d(t) is the distance from the child to the motion detector, in metres, and + is the time, in seconds. Use this equation to estimate when the child was moving the fastest and what speed the child was moving at this time.3. The following graph shows the distance from a light pole to a car racing around a circular track. The track is located north of the light pole. a) Determine the distance from the light pole to the edge of the track. b) Determine the distance from the light pole to the centre of the track. c) Determine the radius of the track. d) Determine the time that the cor takes to complete one lap of the track. u / x e) Determine the speed of the car in metres per second. (5) 3 ' \\ 0 2o 40 so 30 100 The\")