# Hw2 - espinoza(mee536 HW2 ditmire(58216 This print-out should have 25 questions Multiple-choice questions may continue on the next column or page

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espinoza (mee536) – HW2 – ditmire – (58216) 1 This print-out should have 25 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 (part 1 oF 3) 10.0 points The scale on the horizontal axis is 2 s per divi- sion and on the vertical axis 5 m per division. 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 8 9 time ( × 2 s) position ( × 5 m) What is the initial position? Correct answer: 0. Explanation: At time t = 0, the position is 0. 002 (part 2 oF 3) 10.0 points What is the fnal position? Correct answer: 20 m. Explanation: The fnal position is read From the graph and is 4 times the vertical scale Factor (5 m). p f = 4 (5 m) = 160 m . 003 (part 3 oF 3) 10.0 points What velocity is represented by the graph? Correct answer: 1 . 25 m / s. Explanation: The velocity is the slope oF the position vs time graph, so v = Δ p Δ t = 4 (5 m) 8 (2 s) = 1 . 25 m / s . 004 (part 1 oF 3) 10.0 points Consider the plot below describing motion along a straight line with an initial position oF x 0 = 10 m. - 1 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 b b b b b time (s) velocity (m/s) What is the position at 2 seconds? Correct answer: 13 m. Explanation: The initial position given in the problem is 10 m. b b b b b b 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 - 1 time (s) The position at 2 seconds is 10 meters plus the area oF the triangle (shaded in the above plot) x = 10 m + 1 2 (2 s - 0 s) × (3 m / s - 0 m / s) = 13 m ;

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espinoza (mee536) – HW2 – ditmire – (58216) 2 however, it can also be calculated: x = x i + v i ( t f - t i ) + 1 2 ( t f - t i ) 2 = (10 m) + (0 m / s) (2 s - 0 s) + 1 2 (1 . 5 m / s 2 ) (2 s - 0 s) 2 = 13 m . 005 (part 2 of 3) 10.0 points What is the position at 6 seconds? Correct answer: 33 m. Explanation: The position is 13 m plus the area of the trapezoid from 2 s to 6 s x = 13 m + 1 2 (6 s - 2 s) × (7 m / s + 3 m / s) = 33 m ; however, it can also be calculated: x = x i + v i ( t f - t i ) + 1 2 ( t f - t i ) 2 = (13 m) + (3 m / s) (6 s - 2 s) + 1 2 (1 m / s 2 ) (6 s - 2 s) 2 = 33 m . 006 (part 3 of 3) 10.0 points What is the position at 8 seconds? Correct answer: 32 . 3333 m. Explanation: The position is 33 m minus the area of the triangle from 6 s to 8 s x = (33 m) + 1 2 (8 s - 6 s) × ( - 0 . 666667 m / s - 0 m / s) = 32 . 3333 m ; however, it can also be calculated x = x i + v i ( t f - t i ) + 1 2 ( t f - t i ) 2 = 33 m + (0 m / s) (8 s - 6 s) + 1 2 ( - 0 . 333333 m / s 2 ) (8 s - 6 s) 2 = 32 . 3333 m . 007 (part 1 of 4) 10.0 points Consider the plot below describing the accel- eration of a particle along a straight line with an initial position of 3 m and an initial veloc- ity of 0 m / s. - 1 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 time (s) acceleration (m/s 2 ) What is the velocity at 1 s? Correct answer: 6 m
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## This note was uploaded on 09/19/2010 for the course PHY 303K taught by Professor Turner during the Spring '08 term at University of Texas at Austin.

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Hw2 - espinoza(mee536 HW2 ditmire(58216 This print-out should have 25 questions Multiple-choice questions may continue on the next column or page

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