1- A projectile is fired into the air from the top of a cliff of height h = 210
ID: 2128649 • Letter: 1
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1- A projectile is fired into the air from the top of a cliff of height h = 210 m above a valley. Its initial velocity is v0 = 59.4 m/s at an angle ? = 61
A projectile is fired into the air from the top of a cliff of height h = 210 m above a valley. Its initial velocity is v0 = 59.4 m/s at an angle ? = 61 degree above the horizontal. Where does the projectile land? (Ignore any effects due to air resistance.) A rock is thrown from the top of a 20 m building at an angle of 59 degree above the horizontal. (Ignore any effects due to air resistance.) If the horizontal range of the throw is equal to the height of the building, with what speed was the rock thrown? m/s How long is it in the air? What is the velocity of the rock just before it strikes the ground? m/s) + ( m/s)Explanation / Answer
1) -Y = tan61*X-0.5*g*X^2/(Vocos61)^2 -210 = tan61*X-4.9*X^2/(59.4*cos61)^2 X = 90.m 2) a) -Y = tan59*X-0.5*g*X^2/(Vocos59)^2 -20 = 20*tan59-4.9*20^2/V0^2cos59^2 V0= 11.77m/s b) X = V0*cos59*T======> T = 20/11.77*cos59 = 3.3s c) Vfy = Vo*sin59-g*T = 11.77*sin59-9.8*3.3 = -22.251m/s Vfx = V0*cos59 = 6.02m/s V = 6.02i-22.251j
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