a net = ??m/s2 A bird is flying in an arc whose radius of curvature is 10.5 m. I

Question

anet = ??m/s2

A bird is flying in an arc whose radius of curvature is 10.5 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 7.00 m/s2, what is the net acceleration of the bird when its speed is 3.80 m/s and it is at the location given by anet = ??m/s2 theta = 25.0½? 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 = 7 m/s^2

a_r = v^2/r = (3.8*3.8)/10.5 = 1.375 m/s^2

anet = sqrt(a_t^2 + a_r^2) = 7.134 m/s^2

direction = tan^-1(at/ar ) = 78.88

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