4) 20 pts. A large boulder rests on a cliff 400-meters above a small village is such a position that if it should roll off, it would leave the cliff with a speed of 50 m/s. There is a pond of diameter 200- meters situated with its edge 100-meters from the base of the cliff. The village is at the edge of the pond. a) Will the boulder hit the village? b) What is the velocity of the boulder when it hits? c) How long will the boulder be in the air? O 30 400 m 100m 200 mPHYSICS 105 EQUATION SHEET = AX g = 9.8 m/sec/sec At g = 32.2 ft/sec/sec a avg = AV At a fatal = a, + a, V = ddx a, = dv dt a = dy dt a= Vape = Ar v = Vo + at At (x - X,) = Vit +1/2at2 a avg = Av At v = Vo + 2a(x-X.) v+Vo 7= 2 dr dt ( x - Xo ) = VI a =