Mt. Asama, Japan, is an active volcano complex. In 2009, an eruption threw solid volcanic rocks that landed far from the crater. Suppose that one such rock was launched at an angle of θ = 46.8 degrees above horizontal, and landed a horizontal distance d = 830 m from the crater, and a vertical distance h = 670 m below the crater.

part a) What is the initial speed of the rock in m/s?

part b) How long, in seconds, was the rock in the air?