2.5 The height of a ball that is thrown straight up with a certain force is a function of the time (r) from which it is released given by t) 2 0.Sgl'2 + 40! (where g is a constant determined by gravity). a. How does the value of t at which the height of the ball is at a maximum depend on the parameter 3? b. Use your answer to part (a) to describe how maximum height changes as the parameter 3' changes. c. Use the envelope theorem to answer part (b) directly. d. On the Earth g = 32, but this value varies somewhat around the globe. If two locations had gravitational constants that dif fered by 0.1, what would be the difference in the maximum height of a ball tossed in the two places