mt1_review_saturday - Stefan's Review Problems for Midterm...

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Stefan’s Review Problems for Midterm 1 1 Juggling I like to juggle. But I’m not very good. It takes me 1 . 2 s from the time I catch a ball until I throw it back into the air (after which I’m ready to catch another). a. What initial vertical speed must I give each ball if I want to juggle 5 balls? b. How many balls can I juggle if I toss each ball to a height of 2 m ? 2 Uphill Battle A projectile is fired from the base of a hill that rises with angle θ above the horizontal. The projectile is fired with muzzle speed v 0 . a. If the projectile is fired at an angle φ > θ above the horizontal, how far up the hill will it land? b. Show that this expression reduces to what you would expect for θ = 0. c. How would you find the angle φ that gave the maximum range? (You don’t have to explicitly solve for it.) 3 Balloon Drop If I drop a water balloon from the top of a building and hear the resulting splash 3 . 2 s later, how tall is the building? The speed of sound is 330 m / s .
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