Question 1140570
A toy rocket is launched from the top of a building 144 feet tall at an initial velocity of 208 feet per second.
​a) Give the function that describes the height of the rocket in terms of time t.
​b) Determine the time at which the rocket reaches its maximum​ height, and the maximum height in feet.
​c) For what time interval will the rocket be more than 259 feet above ground​ level?
​d) After how many seconds will it hit the​ ground?

--------------
I have part A down as s(t)= -16t^2+208t+144 but I can't find out how to do part b which is needed for the rest of the parts. Help please!
===================
It's a parabola.
The max height is the vertex.