I think this is what the equation is:
H(t) = -4.9t^2 + 40t
We want to know what t is when h(t) = 75
So plug in 75 for h(t) and solve for t.
75 = -4.9t^2 + 40t
Subtract 75 from both sides.
0 = -4.9t2 + 40t - 75
Now we can use the quadratic formula to solve for t.
t=−40±√402−4(−4.9)(−75)2(−4.9) t=−40±√130−9.8 t=−40+√130−9.8ort=−40−√130−9.8
t ≈ 5.245 seconds or t ≈ 2.918 seconds