A bird is flying in an arc whose radius of curvature is 11.4 m. In the diagram b

Question

A bird is flying in an arc whose radius of curvature is 11.4 m. In the diagram below, the horizontal plane is defined by the x-z plane. It suddenly increases its speed while still flying in the same curved path. If its speed changes at the rate of 6.00 m/s2, what is the net acceleration of the bird when its speed is 3.90 m/s and it is at the location given by the angle theta = 25.0? Express your answer in vector form. Take the +x axis to be to the right and the +z axis to be vertically down.

A bird is flying in an arc whose radius of curvature is 11.4 m. In the diagram below, the horizontal plane is defined by thex-z plane. It suddenly increases its speed while still flying in the same curved path. If its speed changes at the rate of 6.00 m/s2, what is the net acceleration of the bird when its speed is 3.90 m/s and it is at the location given by the angle theta = 25.0? Express your answer invector form. Take the +x axis to be to the right and the +z axis to be vertically down. a net= m/s2

Explanation / Answer

a_t = 6 m/s^2

a_r = v^2/r = (3.9*3.9)/11.4 = 1.33 m/s^2

anet = sqrt(a_t^2 + a_r^2) = 6.14 m/s^2

direction = tan^-1(at/ar ) = 77.5

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