# physics

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a stone is thrown vertically upward with an initial velocity v0. the distance travelled by it in time 1.5v0/g

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In time Vo/g it teaches maximum height, H = Vo^2/(2g)

In an additional time 0.5 Vo/g, it will come part way back down. The distance it falls in that time is
(1/2)g*(0.5Vo/g)^2 = (1/8)(Vo^2/g) = H/4

The total distance travelled is (5/4)H and the total displacement is (3/4)H

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