Worksheet5 - d) When the ball is at x = x f , what is the...

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Name (Last, First) ____________ , ____________ Recitation TA ______________ Section Number_______ Physics 151 Problem Set #5 - due _________ Answer Structure [4 pts] _________ 1. [12 pts] Suppose a very narrow, very tall wall of height h stands between two children who are trying to play catch. The wall is a distance x wall from the thrower, and the catcher is a distance x f from the thrower. In this problem you will calculate the launch angle θ (from the horizontal) that the thrower must use to just clear the wall and still land at the catcher. You may neglect the height of the children and the width of the wall. a) Draw a diagram of the problem. (hint: do not assume the wall’s position is halfway between, or that the ball’s peak height occurs at the wall) b) What is the vertical position of the ball (as a function of time), expressed in terms of the initial speed v 0 and the launch angle ? c) What is the horizontal position of the ball (as a function of time)?
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Unformatted text preview: d) When the ball is at x = x f , what is the vertical coordinate in terms of x f , v and ? e) When the ball is at x = x wall , what is the vertical coordinate in terms of x wall , v and ? f) Turn this page over and solve the equations for in terms of h , x wall and x f . (you may want to try this on a separate sheet of paper first, as this is quite difficult) f) continued 2. [8 pts] A fireman holds a fire hose at angle from the horizontal, aiming it at a building across the street. If the water leaves the nozzle at speed v , and the width of the street is w , at what height h does the water hit the building? You may neglect the height of the fireman. a) How long does it take ( t ) for water to travel from the nozzle to the building? b) At what height h does the water hit the building, in terms of , v , w and g ?...
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This note was uploaded on 02/20/2010 for the course ENGINEERIN 242 211 taught by Professor Tessier during the Spring '10 term at UMass (Amherst).

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Worksheet5 - d) When the ball is at x = x f , what is the...

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