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