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solutionHW1 - ruz-mora(jr43892 Homework 1 sorge(51815 This...

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ruz-mora (jr43892) – Homework 1 – sorge – (51815) 1 This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. This homework set covers issues from Chapters 1 through 4 in Serway. Please start on it early. It is due at noon EDT on May 20, 2010. Solutions are available at 5 PM EDT on that day. 001 (part 1 of 2) 10.0 points Consider a car which is traveling along a straight road with constant acceleration a . There are two checkpoints A and B which are 85 . 3 m apart. The car travels from A to B in 4 . 07 s. A B 7 m / s 2 85 . 3 m Find the velocity difference Δ v = v B - v A between the two checkpoints. 1. Δ v = - 2 a Δ t 2. Δ v = 1 2 a Δ t 3. Δ v = 2 a Δ t 4. Δ v = 1 2 a Δ t 5. Δ v = 1 a Δ t 6. Δ v = 2 a Δ t 7. Δ v = - 1 2 a Δ t 8. Δ v = - a Δ t 9. Δ v = a Δ t correct Explanation: Under constant acceleration, v = v 0 + a Δ t , so Δ v = v - v 0 = a Δ t . 002 (part 2 of 2) 10.0 points Find the velocity v B for the case where the acceleration is 7 m / s 2 . Correct answer: 35 . 2032 m / s. Explanation: Let : Δ x = 85 . 3 m a = 7 m / s 2 . Δ v = v B - v A v A = v B - Δ v v = Δ x Δ t = v A + v B 2 = ( v B - Δ v ) + v B 2 2 v = 2 v B - Δ v v B = v + Δ v 2 = v + 1 2 at = 85 . 3 m 4 . 07 s + 1 2 (7 m / s 2 ) (4 . 07 s) = 35 . 2032 m / s . 003 (part 1 of 8) 10.0 points Consider the plot below describing motion along a straight line with an initial position of 10 m. - 1 0 1 2 3 4 0 1 2 3 4 5 6 7 8 9 time (s) velocity (m/s) What is the acceleration at 1 second?
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