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) = 1 10t(3600 ? t 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?

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