Motion in Two or Three Dimensions

A bird flies in the xy plane with a velocity vector given by v = [( α – βt 2 ) , γt ]. Positive y – direction is vertically upwards, and at time t = 0 the bird is in position (0 , 0). (a) The unit of speed is provided with SI basic units. Express the units to α , β and γ. (b) Calculate the position and acceleration vector of the bird as a function of the time. (c) The values of the constant quantities without unit are given by α = 4.0, β = 3.0 and γ = 2.0. Plot the XY position of the bird at times t = 0, t = 1,0s and t = 2,0s. Sketch the direction of the speed and acceleration vector at these the times