Physics Problems - 2-D Motion -Position Velocity Acceleration- Calculus-Based Problem - Bird Flying

The coordinates of a bird flying in the xy-plane are given by x(t) = αt and y(t) = 3.0 m - βt2 , where α = 2.4 m/s and β = 1.2 m/s2 .
(a) 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’s speed increasing, decreasing, or not changing? Is the bird turning? If so, in what direction?
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