(Solved): A ball is thrown upward from the top of a building 210 feet tall. The height of the ball is describ ...

A ball is thrown upward from the top of a building 210 feet tall. The height of the ball is described by the function \[ h(t)=-16 t^{2}+28 t+210, \] Where \( t \) is the time in seconds and \( t=0 \) corresponds to the moment the ball is thrown. (a) Determine for which value of \( t \) the ball reaches the maximum height and determine this maximum height. Max Height: (b) Determine when the ball reaches the ground \[ t= \] (c) With what velocity does the ball hit the ground? Answer: \( \frac{f t}{8} \)