What is the maximum height that a steelhead can jump?

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?

Answer

(a) The maximum height is given by

2 82 - 3.27m 2q 2 x 9.8

(b) Using kinematical equation

s = ut + frac{1}{2}at^2

1.8 = 8t -4.9t^2

Solving the above quadratic equation

t = 1.36s

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