The Spacex Dragon Capsule is approaching tlie International Space Stationu Starting at time to = 33 it has initial position ii; = 4111i ij 2m}: and velocity 5'0 = 4%1'. It then starts a burn which gives it acceleration {1' = 2 E'i tie. (a) Find its position vector Fit) as a function of time for all times t after to. (b) What if the acceleration was ('1' = 2 3-} t it