Steelhead trout migrate upriver to spawn.?

Occasionally they need to leap up small waterfalls to continue their journey. Fortunately, steelhead are remarkable jumpers, capable of leaving the water at a speed of 8.0 m/s.

What is the maximum height that a steelhead can jump?(Got this one but feel free torecheck my work) 3.3m

Leaving the water vertically at 8.0 m/s, a steelhead lands on the top of a waterfall 1.8 m high. How long is it in the air?

I’ve got lots of kinematic equation work on this, but none of it is correct so far. Please help.

Hmax = Voy^2/2g = 8^2/19.6 = 3.27 m

1.8 = 8*t-4.9*t^2

t = (8-√8^2-19.6*1.8)/9.8 = 0.27 sec

t = (8+√8^2-19.6*1.8)/9.8 = 1.36 sec

What’s the meaning of these two times?

With such an initial vertical speed (8.0 m/sec) , the steelhead reaches a top height of 3.27 m and then fall down , therefore the height of 1.8 m is met twice, the first time after 0.27 sec while ascending and the second while descending .

Since the motion can’t be stopped while ascending , it is reasonable to consider the longer time as the proper answer to such problem !!!

What is the maximum height that a steelhead can jump?