An object is attached by a string to the end of a spring. Fang throws the object upwards and starts a stopwatch at   seconds. The object starts oscillating vertically in a periodic way that can be modeled by a trigonometric function. The object's average height is   (measured from the top of the spring). It first achieves that average height on the way up at   seconds, and then again every   seconds. The object's maximum and minimum heights are each   from its average height. Find the formula of the trigonometric function that models the height   of the weight   seconds after Fang started the stopwatch. Define the function using radians.   What is the height of the object after   seconds? Round your answer, if necessary, to two decimal places.