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The coordinates of a bird flying in the xy-plane are given by x(t) = aat and y(t) = 3.0 m-BBt where aa= 2.4 m/s

 

The coordinates of a bird flying in the xy-plane are given by x(t) = aat and y(t) = 3.0 m-BBt where aa= 2.4 m/s and BB = 1.2 m/s. (a) Sketch the path of the bird between t= 0 s and t- 2.0 s. (b) Calculate the velocity and acceleration vectors of the bird as functions of time. (c) Calculate the magnitude and direction of the bird's velocity and acceleration at t = 2.0 s. (d) Sketch the velocity and acceleration vectors at t= 2.0 s. At this instant, is the bird speeding up, is it slowing down, or is its speed instantaneously not changing? Is the bird turning? If so, in what direction?

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