University Physics with Modern Physics with Mastering Physics (11th Edition)

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3.64: Combining equations 3.25, 3.22 and 3.23 gives , 2 ) 2 1 sin ( 2 ) ( sin 2 ) cos (sin ) sin ( cos 2 0 2 0 0 2 0 2 0 0 0 2 0 2 2 0 2 0 0 0 2 2 0 2 gy v gt t v g v gt gt v v gt v v v - = - - = + - + = - + = α α α α α α where Eq. (3.21) has been used to eliminate t in favor of y . This result, which will be seen in the chapter dealing with conservation of energy (Chapter 7), is valid for any y , positive, negative or zero, as long as
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Unformatted text preview: 2 v . For the case of a rock thrown from the roof of a building of height h , the speed at the ground is found by substituting h y-= into the above expression, yielding gh v v 2 2 + = , which is independent of ....
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