Joshua shoots his toy rocket straight up into the air from a cliff that is 100 m above the ground, at a velocity vertical velocity of 85 m/s. 50 m later, a missile is shot out of it horizontally at a speed of 30 m/s. How long does it take for the rocket to hit the ground? How far from the base of the cliff will the missile land? What will be the velocity of the missile as it strikes the ground?