1. [15 marks] An experimental rocket is red from a facility in outback Australia. The theoretical physicist on the project has predicted that the height {in metres} of the rocket t seconds after it has been launched will be given by W) = 1%:(3500 :2). (a) Find an expression for the velocity of the rocket at time t. (b) 1i.t'lihat is the maximum height achieved by the rocket? Hint: the velocity of the rocket will be zero when the rocket is at its highest point. (c) How fast will the rocket be travelling when it comes back to Earth