Question

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

Answer 1

8.11 m/s

Step-by-step 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
`v_y=3\ m/s`

The horizontal speed (
`v_x`):

`v_x=(2\pi R)/(T) =(2\pi *6\ m)/(5\ s) =7.54\ m/s`

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

v =
`√(v_x^2+v_y^2)`

`v=√(7.54^2+3^2) \\\\v=8.11\ m/s`