The coordinates of a bird flying in the xy-plane are given

Chapter 3, Problem 3.7

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The coordinates of a bird flying in the xy-plane are given by \(x(t)=\alpha t\) and \(y(t)=3.0\mathrm{\ m}-\beta t^2\) where \(\alpha=2.4\mathrm{\ m}/\mathrm{s}\) and \(\beta=1.2\mathrm{\ m}/\mathrm{s}^2\). Sketch the path of the bird between t = 0 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?