We need to know the height of the hoop, which the problem statement does not provide. Suppose it is H (in feet). Assuming the ball is tossed vertically up (another detail that is missing from the problem statement), the height h as a function of time t is
h(t) = (-1/2)32t2 + 25t + 6.5 = -16t2 + 25t + 6.5
h in feet, t in seconds
When it reaches a height H,
H = -16t2 + 25t + 6.5
-16t2 + 25t + (6.5 - H) = 0
Solve this quadratic equation for t. I should give a negative and a positive solution, Since t starts at t = 0, the answer is the positive solution. Plug in the correct value of H and solve.