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Physics 1 Problem Solutions 46

Physics 1 Problem Solutions 46 - 42 Chapt 4 Two and...

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42 Chapt. 4 Two- and Three-Dimensional Kinematics 004 qfull 00220 3 3 0 tough math: projectile motion in general Extra keywords: only suitable for the calculus-based course. Sort of too much. 3. In answering this problem, you obtain all the really useful expressions for projectile motion in the absence of air drag. Otiose generality is eschewed. Let x and y be the horizontal and vertical coordinates. Assume the projectile is launched from x = 0 and y = y 0 at t = 0 at an angle to the horizontal of θ [ π/ 2 ,π/ 2]. The only acceleration is g : i.e., gravity in the negative y direction. The launch speed is v 0 a) What are the x and y expressions as a function of time. b) Since x and t are linearly related we only need to find expressions for either one: the other being obtained always by a simple multiplication. Often in elementary projectile problems, one is not so interested in t . Use the expressions from the answer to part (a) to obtain y as function of x and not t . Find the x value that gives y max
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