Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

A bird is flying in an arc whose radius of curvature is 11.0 m. In the diagram b

ID: 1281437 • Letter: A

Question

A bird is flying in an arc whose radius of curvature is 11.0 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 9.00 m/s2, what is the net acceleration of the bird when its speed is 3.75 m/s and it is at the location given by ? = 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 11.0 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 9.00 m/s^2, what is the net acceleration of the bird when its speed is 3.75 m/s and it is at the location given by ? = 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.

Explanation / Answer

a_t = 9 m/s^2

a_r = v^2/r = (3.75*3.75)/11 = 1.27 m/s^2


anet = sqrt(a_t^2 + a_r^2) = 9.08 m/s^2

direction = tan^-1(at/ar ) = 81.96