1. An experimental rocket is fired 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 h ( t ) = 10 *(3600 - +2 ). (a) Find an expression for the velocity of the rocket at time t. (b) What 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