Question

How fast would a ball have to be thrown upward to reach a maximum height of 100 ft?

Answer 1

16t^2-Vot+h=0 is the equation

Answer 2

\(V_0=?\)

Answer 3

It's much easier to use
\(V1^2-V0^2=2gh\)
because we know V1=0 (final velocity)
V0 is what you need to solve for.
g=-32.2 ft/s^2 (downwards, against initial velocity, so negative)
h=100' (given)
Solve for V0.