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?