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# exam_1 - Problem 1 (22 points) At time t = 0 see we throw a...

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Unformatted text preview: Problem 1 (22 points) At time t = 0 see we throw a stone from the mound level straight up with a speed of 20 mfsee (ignore airdrag, and assume 3 :10 mfseeg). a) (6) At what time (in see) will this stone reach its highest point, and how high is it then above the ground? b) (6) We now throw a second stone straight up 2 see after the first. How many meters above the ground is the ﬁrst stone at that moment? e} (10) At what speed should we throw this seeond stone from the ground if it is to hit the first stone 1 second after the second stone is thrown? Problem 2 (34 points) A particle is moving in thIoo dimensions. Its position voctor is givon by: r: 53+(3+4n§r- (3+2t— t2); Distancos arc in motors, and tho timo, t, in soconds. a) (6) 1What is the velocity voctor at t = +3? 13) (6) What is tho spood (in mfsoc) at t = +3? c) (6) What is tho accoloration voctor and what is its magnitude (in mfsocz) at z = +3? Now tho particlo is moving only along tho z-axis, and its position is givon by ﬁ-m-ai d) (6) At what timo docs tho particlo stand still? o) [10) Mako a plot (a skotch) of z vorsus timo covoring t = -2 to +4 soc. Problem 3 (44 points) A particle moves along a straight line, a. At time t = 0. its position is at x = 0. The velocity, V, of the object changes as a function of time, t, as indicated in the ﬁgure; it is in seconds, Vin misec andxin meters. ' a) {6) Wtisxatr=1sec? b} (e) What is the acceleration (in mteeelj at r = 2 see? c) (6) Wtisxatr=3sec? d} {6} What is the average velocity (in misec) between t = 0 and r = 3 see? c) {10) What is the average speed (in mfsee) between I = 0 and r = 3 sec? 1} (10) Make a plot (a sketch} of .1: versus time between t = U and t = 3 sec. Indicate clearlyr in your plot at r= D, l, 2, 3 ace what exactly the .1: positions are (be quantitative). ...
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## exam_1 - Problem 1 (22 points) At time t = 0 see we throw a...

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