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7 - gonzalez(ng4897 homework 03 Turner(58120 This print-out...

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gonzalez (ng4897) – homework 03 – Turner – (58120) 1 This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points The graph shows the velocity v as a function of time t for an object moving in a straight line. t v 0 t Q t R t S t P Which graph shows the corresponding dis- placement x as a function of time t for the same time interval? 1. t x 0 t Q t R t S t P 2. t x 0 t Q t R t S t P 3. None of these graphs is correct. 4. t x 0 t Q t R t S t P 5. t x 0 t Q t R t S t P correct 6. t x 0 t Q t R t S t P 7. t x 0 t Q t R t S t P 8. t x 0 t Q t R t S t P 9. t x 0 t Q t R t S t P Explanation: The displacement is the integral of the ve- locity with respect to time: vectorx = integraldisplay vectorvdt. Because the velocity increases linearly from zero at first, then remains constant, then de- creases linearly to zero, the displacement will increase at first proportional to time squared, then increase linearly, and then increase pro- portional to negative time squared. From these facts, we can obtain the correct answer. t x 0 t Q t R t S t P 002 (part 1 of 5) 10.0 points Consider a toy car which can move to the right (positive direction) or left on a horizon- tal surface along a straight line. car v O + What is the acceleration-time graph if the car moves toward the right (away from the origin), speeding up at a steady rate?
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