# What is the maximum height that a steelhead can jump?

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?

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