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October 1, 2014

October 1, 2014

Posted by **Sun** on Friday, September 26, 2008 at 1:38pm.

Find the speed of the bird relative to the ground.

Find the magnitude of the bird's acceleration

Find the direction of the bird's acceleration.

Find the angle between the bird's velocity vector and the horizontal.

Can someone please help with the forumla's?

- Uniform Motion -
**Damon**, Friday, September 26, 2008 at 2:21pmThe vertical motion and the horizontal motion are decoupled. The vertical velocity is v = 3 m/s and the vertical acceleration is 0 m/s^2

In the horizontal plane the speed is u = 2 pi r/T = 2 pi (8/5) = 10 m/s

and the acceleration is centripetal = v^2/r = 12.6 m/s^2 toward the center of the spiral

So the speed relative to ground is:

s = sqrt(u^2+v^2)

The acceleraation is all inward in the horizontal plane and is 12.6 m/s^2

tan theta = v/u = 3/10

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