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# hw2 - The position-versus-time graph below de-scribes the...

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Muraj, Hamza – Homework 2 – Due: Jan 25 2006, 4:00 am – Inst: Florin 1 This print-out should have 2 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points Water flows into a swimming pool at the rate of 13 . 7 gal / min. If the pool dimensions are 22 . 5 ft wide, 46 . 2 ft long and 18 . 9 ft deep, how long does it take to fill the pool? (1 gallon = 231 cubic inches) Correct answer: 10727 . 5 min. Explanation: Basic Concepts The volume of the pool is given by V = lwh Solution The flow rate is v = V t Thus t = V v = 146966 gal 13 . 7 gal / min = 10727 . 5 min Dimensional analysis of V : ft 3 · 12 in ft 3 · 1 gal 231 in 3 = gal 002 (part 1 of 1) 10 points
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Unformatted text preview: The position-versus-time graph below de-scribes the motion o± three di³erent bodies (labelled 1, 2, 3). 1 2 3 x B x A t A t B x t A B Consider the average velocities o± the three bodies. Which o± the ±ollowing statements is correct? 1. ¯ v 1 < ¯ v 2 < ¯ v 3 2. ¯ v 1 > ¯ v 2 > ¯ v 3 3. ¯ v 1 > ¯ v 2 and ¯ v 3 > ¯ v 2 4. ¯ v 1 = ¯ v 2 = ¯ v 3 correct Explanation: The defnition o± average velocity is ¯ v = displacement time = x B-x A t B-t A . All three bodies have exactly same displace-ment in exactly same time, hence all three av-erage velocities are exactly equal, ¯ v 1 = ¯ v 2 = ¯ v 3 ....
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