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Please walk through the steps taken to find the solution. A representation on a X,Y graph would also be appreciated, thank you!

Mt. Asama, Japan, is an active volcano. In 2009, an eruption threw solid volcanic rocks that landed as far as 1 km horizontally from the crater, which has a radius of 100 m and a depth of 50 m. (a) For the first few seconds, the angle of launch of a rock that escaped the crater can be approximated as a linear function, and so the minimum angle of launch can be approximated by the geometry of the crater. Taking the y-direction to the direction that the rock flies, find the unit vector that represents the direction of the initial velocity of the rock. (b) If such a rock originates 900 m above the landing position of the rock, (b) what would be its initial velocity? and (c) what is its time of flight? Mt. Asama, Japan, is an active volcano. In 2009, an eruption threw solid volcanic rocks that landed as far as 1 km horizontally from the crater, which has a radius of 100 m and a depth of 50 m. (a) For the first few seconds, the angle of launch of a rock that escaped the crater can be approximated as a linear function, and so the minimum angle of launch can be approximated by the geometry of the crater. Taking the y-direction to the direction that the rock flies, find the unit vector that represents the direction of the initial velocity of the rock. (b) If such a rock originates 900 m above the landing position of the rock, (b) what would be its initial velocity? and (c) what is its time of flight