Answer about 1.77 seconds.
f(t) = -16 t^2 + 25t + 6
f(t) = height.
hieght = 0 = -16t^2 + 25t + 6
Find t using the quadratic formula,
t = ( - 25 +/- √[25^2 - 4 (-16)(6)] ) / [2*(-16)]
t = [-25 +/- √ (625 + 384) ] / -32
t = [-25 +/- 31.76] / -32.
You will obtain two results one positive and one negative. Take the positive only as the other one has no physical meaning. t = 1.77 s.