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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?

Respuesta :

Part a)

since steelhead jump under the influence of gravity

So we will use kinematic equations

[tex]v_f^2 - v_i^2 = 2ad[/tex]

here at the maximum position we know that final speed will be zero

[tex]v_f = 0[/tex]

[tex]a = -9.8 m/s^2[/tex]

[tex]v_i = 8m/s[/tex]

now we will have

[tex]0 - 8^2 = 2(-9.8)d[/tex]

[tex]d = 3.26 m[/tex]

so the maximum height that it can reach will be 3.26 m

Part B)

now if it reaches to height 1.8 m with initial speed 8 m/s

so here we will have

[tex]y = v_i t + \frac{1}{2}at^2[/tex]

[tex]1.8 = 8 t - \frac{1}{2}(9.8)t^2[/tex]

[tex]4.9 t^2 - 8t + 1.8 = 0[/tex]

[tex]t = 0.27 s[/tex]

A) 3.3m

B)  1.36 sec

Explanation:

Cause I know its right

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