A person travels to a new planet and makes a paper aeroplane to see how it flies. The paper aeroplane is flying in the sky in the direction of (1,1,-1) with a speed of 3√3 ms-1. At t=1, the plane is (0,0,2)m. There is wind which gives a velocity of (1ms-1, 2ms-1,3ms-1) for 3 seconds. Suppose the gravity is cancelled by the air resistance.
(a) Calculate the resulting velocity and acceleration.
(b) At t=4, where is the plane? (give the coordination, as well)