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hw 3 - homework 03 HETTIGER CHRISTOF Due 4:00 am Question 1...

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homework 03 – HETTIGER, CHRISTOF – Due: Jan 24 2008, 4:00 am 1 Question 1, chap 2, sect 2. part 1 of 1 10 points The graph below 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 of the following graphs shows the corresponding displacement 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. t x 0 t Q t R t S t P 4. t x 0 t Q t R t S t P 5. t x 0 t Q t R t S t P 6. t x 0 t Q t R t S t P 7. None of these graphs are correct. 8. t x 0 t Q t R t S t P correct 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 Question 2, chap 2, sect 4. part 1 of 5 10 points The following 5 questions refer to a toy car which can move to the right or left on a horizontal surface along a straight line (the + distance axis). The positive direction is to the right. Dif- ferent motions of the car are described be- low. Choose the acceleration-time graph which corresponds to the motion of the car described in each statement.

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homework 03 – HETTIGER, CHRISTOF – Due: Jan 24 2008, 4:00 am 2 car v g O + The car moves toward the right (away from the origin), speeding up at a steady rate.
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