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q1As - Physics 2211A Quiz 1 Form 800 Name Fall 2006 Select...

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Physics 2211A Quiz # 1 Form 800 Name: Fall 2006 Select a seat with a RED S Print your name, test form number (3 digits at the top of this form), and student num- ber (9 digit Georgia Tech ID number) in the section of the answer card labeled “Student Identification.” Bubble the Test Form Number in columns 1–3, skip column 4, then bubble your Student Number in columns 5–13. Free-response questions are numbered I–IV. For each, make no marks and leave no space on your card. Show all your work clearly, including all steps and logic. Box your answer. Multiple-choice questions are numbered 1–4. For each, select the answer most nearly correct, circle this answer on your test, and bubble it on your answer card. Do not put any extra marks on the card. Turn in your test and answer card as you leave. Your score will be posted under “Course Standing” when it has been graded. Quiz grades become final when the next quiz is given. You may use a calculator that cannot store letters, but no other aids. Form #800 Page 1 of 7
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I. (15 points) The ball in Times Square begins to fall at 11:59 PM, and is supposed to drop steadily over 30 m, landing at exactly 12:00. At 11:59:25.00 the cable holding the ball snaps. a ) (6 points) How far above the ground is the ball when the cable snaps? Using a motion diagram or graph here is helpful: the ball falls 30 m in 60 s at a constant rate. Choose a point on the graph or diagram to see that this occurs at (35 / 60) · 30 = 17 . 5 m above the ground. Or, solve for v 0 and calculate distance as y 1 = v · Δ t , then subtract from total height: 30 m 0 m 0 s 60 s 5 s 1 s after before v 0 = 30 / 60 = 0 . 5m / s y 1 = 0 . 5 × 25 = 12 . 5m y 2 = 30 - 12 . 5 = 17 . 5m b ) (9 points) How much earlier does the New Year begin, according to when the ball hits the ground? The ball is in freefall from a height of y 0 = 17 . 5 m, with an initial velocity of v 0 = 0 . 5 m/s Δ y = v 0 t + 1 2 at 2 Rearranging and plugging in: (0 . 5) t + (4 . 9) t 2 - 17 . 5 = 0 t = - b ± b 2 - 4 ac 2 a = - (0 . 5) ± radicalbig (0 . 5)
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