Modeling Vertical Motion (using quadratic equation)?

Question

Ok so heres the problem:

An eagle dives toward a mouse, When the eagle is at a height of 125 ft the mouse sees the eagle, which is diving at 145 ft per second. Estimate the time the mouse has to escape. I got an answer but it doesn't seem too logical! What did you get?

Answer 1

I say forget this cos it would never happen in real life anyway. eagles don't catch mice and if the eagle were traveling at that speed the mouse would have less than a second to recognise the eagle as a threat, dicide weather to stay where it was or flee and by this point it would probably be dead.

Answer 2

One needs more information to solve this problem. For example, is the bird under the influence of gravity (accelerating?), or can it fly at a constant speed? If not, the answer is simply v=y/t or t=y/v. This yeilds t=25/29 or 0.86 seconds. If the bird is accelerating at g, then the equation is y=VoT +1/2gT^2 which becomes 0=VoT +1/2gT^2-y. Solving for T yeilds .84 seconds or -30 seconds. Since Time isn't negative here, we choose 0.84 seconds.