A bird flies in the xy-plane with a velocity vector given by v(vector) = (a-bt^2)(i-vector) + ct (j-vector) , with a= 2.4m/s, b=1.6m/s^3,c=4.0m/s^2. The positive y-direction is vertically upward. At t=0 the bird is at the origin. Calculate the position vector of the bird as a function of time. Express your answer in terms of a, b, and z. Write the vector r(t) in the form vector(r(t)x,r(t)y , , where the x and y components are separated by a comma. Calculate the acceleration vector of the bird as a function of time. also in the form as stated above. What is the bird's altitude (y-coordinate) as it flies over x=0 for the first time after t=0?