At a New Year celebration, Piotr sets off a firework rocket from a platform which is 1 m above the ground. The path of the firework is described by a quadratic function with equation where represents the time, in seconds, since the firework took off, and f(t) represents the height, in meters, of the firework above the ground. Piotr wants to estimate the maximum height that his firework reaches and how long it will take before it lands on the ground.