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Sigrid O'Kon

Feb 20, 2025

Calculate the magnitude of the velocity of the rock just before it strikes the ground?

A man stands on the roof of a building of height 15.6m and throws a rock with a velocity of magnitude 31.1m/s at an angle of 26.2∘ above the horizontal. You can ignore air resistance.A-Calculate the magnitude of the velocity of the rock just before it strikes the ground. B-Calculate the horizontal distance from the base of the building to the point where the rock strikes the ground.
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(a) By conservation of energyKi + Ui = Kf + Uf1/2m(vi)^2 + mgh = 1/2m(vf)^2 + 0vf = √((vi)^2 + 2gh) = 35.7 m/s(b)In the y directions = ut + 1/2at^2s = vsinθt – 1/2gt^2-15.6 = 31.1sin26.2°t – 1/2 gt^2t = 3.66975 sIn the x directionx = vcosθt = (31.1)cos26.2°(3.66975) = 102 m... Show More
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