Maximum height reached:

$\overline{){{\mathbf{h}}}_{\mathbf{m}\mathbf{a}\mathbf{x}}{\mathbf{=}}\frac{{{\mathbf{v}}_{\mathbf{0}}}^{\mathbf{2}}}{\mathbf{2}\mathbf{g}}}$

We'll also use the kinematic equation:

$\overline{){\mathbf{\u2206}}{\mathit{y}}{\mathbf{=}}{\mathbf{}}{{\mathit{v}}}_{{\mathbf{0}}}{\mathit{t}}{\mathbf{-}}{\frac{1}{2}}{\mathit{g}}{{\mathit{t}}}^{{\mathbf{2}}}}$

Steelhead trout migrate up stream 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.

a. What is the maximum height a steelhead trout can jump?

b. Leaving the water at 8.0 m/s, the trout lands on top of the water fall 1.8 m high. How long was it in the air?

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