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It is common to see birds of prey rising upward on thermals. The paths they take may be spiral-like. You can model the spiral motion as uniform circular motion combined with a constant upward velocity. Assume a bird completes a circle of radius 6.00 m every 5.00 s and rises vertically at a rate of 3.00 m/s. Part APart complete Find the speed of the bird relative to the ground. Express your answer using three significant figures. v

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raphealnwobi

Answer:

8.11 m/s

Explanation:

The bird has two velocity, one velocity is in the upward direction (+y direction) and the other velocity is in the x direction (that is along the radius of circle of the bird).

the vertical speed [tex]v_y=3\ m/s[/tex]

The horizontal speed ([tex]v_x[/tex]):

[tex]v_x=\frac{2\pi R}{T} =\frac{2\pi *6\ m}{5\ s} =7.54\ m/s[/tex]

The bird's speed relative to the ground (v) is given by:

v = [tex]\sqrt{v_x^2+v_y^2}[/tex]

[tex]v=\sqrt{7.54^2+3^2} \\\\v=8.11\ m/s[/tex]

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