3. [5 marks] A dove carrying an olive branch in its beak starts flying with an initial velocity of 20 m/s. The parabolic trajectory of the pigeon's flight is described by h(t). h(t) = -512 + 50t + 360 where h is the height in meters and t is the time in seconds. (a) What is the highest point that a dove can reach? (b) How much time will the dove require to reach its maximum height? (c) How long will it take for the dove to reach the ground and drop the olive branch