In 1 hour, Nate paddles his canoe 6 km upstream and then returns back downstream to the dock. The current in the river is 3 km/h. a) b) Create a simplified quadratic equation to model the situation. What is Nate's speed in still water? 9. A model rocket is fired from the side of a hill and its flight is given by the quadratic equation shown here: h(t) = -4.9t + 50t + 25 a) What is the initial height of the rocket? b) What is the maximum height of the rocket? c) How long after launch does the rocket reach the maximum height? (3 marks) (3 marks) d) How long does it take for the rocket to reach the ground? e) State the domain and range for this situation.