Homework 2 - homework 02 BAUTISTA, ALDO Due: Jan 25 2006,...

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1 Version number encoded for clicker entry: V1:1, V2:4, V3:2, V4:4, V5:3. Question 1 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. None of these graphs are 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 6. t x 0 t Q t R t S t P 7. t x 0 t Q t R t S t P correct 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: ~x = Z ~v dt . Because the velocity increases linearly from zero at Frst, then remains constant, then de- creases linearly to zero, the displacement will increase at Frst proportional to time squared, then increase linearly, and then increase pro- portional to negative time squared. ±rom these facts, we can obtain the correct answer. t x 0 t Q t R t S t P Question 2 Part 1 of 3. 10 points. The position of a car coasting down a hill was observed at various times and the results are summarized in the table below. time distance 0 s 0 . 81 m 1 s 3 . 8 m 2 s 10 . 6 m 3 s 20 . 1 m 4 s 37 . 2 m 5 s 54 m a) ±ind the average velocity of the car dur- ing the Frst second. Correct answer: 2
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Homework 2 - homework 02 BAUTISTA, ALDO Due: Jan 25 2006,...

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