Question

Suppose you are tossing an apple up to your friend on a third-story balcony. After x seconds the height of the apple is given by h= -16t^2+38.4t+0.96. Your friend catches the apple just as it reaches its highest point. How long does it take for the apple to reach your friend and at what height above the ground does your friend catch it.

Answer 1

you just need to remember that the vertex of the parabola

y = ax^2+bx+c

occurs at x = -b/2a.