Physics 213 Test 1 10 points each Sept. 17, 1998

1. a) Write down the meaning of ¹ ?




b) If the radius of a circle is increased by 4 cm , by how much is the circumference increased?





2. Consider the table of data below.

A

1

2

3

4

5

6

7

8

B

3

6.1

9

11.9

15

18

22

24


a. Is B proportional to A?


b. If so, what is an approximate value of the proportionality constant k = B/A ?





c. If so, describe how you would obtain the best approximation of this constant.






3. a. Draw a motion diagram for an object that has negative velocity and positive acceleration.






b. Draw a motion diagram for an object that has constant acceleration and zero displacement over a certain time interval. 4. Describe the motion required to create the distance vs time graph .


5. How can one move a distance of 4 meters and have a net displacement of 3 m ?




6. A skier was seen to have velocities of 10 mi / hr, 25 mi/ hr , 40 mi / hr, and 55 mi / hr at t = I s, 2 s , 3s , 4 s, 5 s, etc.
Is her acceleration constant? If so, what is it ?






7. Describe the motion required to create the velocity vs time graph .

8. For the velocity vs time curve below:

a. Find the total displacement traveled in 8 seconds by the object with the velocity vs time curve.








b. Find the total distance traveled in 8 seconds by the object with the velocity vs time curve.








9. a. Given vectors A and B as indicated in the diagram, draw on the diagram , R = A + B.



b. Given Cx = 4, and u = 30E, find Cy and C.
10. George finally got up the courage to go hot air ballooning. He took his stuffed teaddy bear named Harry. (George never goes anywhere without Harry). The balloon is ascending at a constant rate of 20 m/s. But as he was dangling Harry over the edge of the gondola, showing him all the sights, Geoge accidentally dropped Harry. Trying to calm himself down, he measured the time it took Harry to splatter all over the pavement below. He noticed it was 10 seconds. (Ignore air resistance, use g = 10 m/s2). But at that same instant, grief -stricken George faints, and falls out of the gondola. Two seconds later the cold air striking him in the face wakes George up. How long does George have to prepare himself for death, after he wakes up?