Calculus I

Time and Date Stamps (logged): 01:37:07 08-29-2008 ｯｰ浚ｶ浣ｶｯｷ浤ｸ浤ｯｯｷ Calculus I

Physics I Major Quiz

Completely document your work and your reasoning.

You will be graded on your documentation, your reasoning, and the correctness of your conclusions.

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Name and Signature of Student _____________________________

Signed by Attendant, with Current Date and Time: ______________________

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Instructions:

Test is to be taken without reference to text or outside notes.
Graphing Calculator is allowed, as is blank paper or testing center paper.
No time limit but test is to be taken in one sitting.
Please place completed test in Dave Smith's folder, OR mail to Dave Smith, Science and Engineering, Va. Highlands CC, Abingdon, Va., 24212-0828 OR email copy of document to dsmith@vhcc.edu, OR fax to 276-739-2590. Test must be returned by individual or agency supervising test. Test is not to be returned to student after it has been taken. Student may, if proctor deems it feasible, make and retain a copy of the test..

Directions for Student:

Completely document your work.
Numerical answers should be correct to 3 significant figures. You may round off given numerical information to a precision consistent with this standard.
Undocumented and unjustified answers may be counted wrong, and in the case of two-choice or limited-choice answers (e.g., true-false or yes-no) will be counted wrong. Undocumented and unjustified answers, if wrong, never get partial credit. So show your work and explain your reasoning.
Due to a scanner malfunction and other errors some test items may be hard to read, incomplete or even illegible. If this is judged by the instructor to be the case you will not be penalized for these items, but if you complete them and if they help your grade they will be counted. Therefore it is to your advantage to attempt to complete them, if necessary sensibly filling in any questionable parts.
Please write on one side of paper only, and staple test pages together.

Test Problems:

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Problem Number 1

Give an example of a situation in which you are given v0, a and Dt, and reason out all possible conclusions that could be drawn from these three quantities, assuming uniform acceleration. Accompany your explanation with graphs and flow diagrams. Show how to generalize your result to obtain the symbolic expressions for Ds and vf.

Problem Number 2

We wish to test whether the acceleration of an automobile on a constant incline is constant.

We allow it to roll down a such an incline from rest, starting at different positions on the incline.
If the automobile coasts distances of 10.27939, 4.189431, 6.463816 and 4.481966 cm, starting from rest each time, and requires respective times of 7.5 sec, 6 sec, 9.25 sec and 8.75 sec, is there evidence that acceleration is constant?

Problem Number 3

Reason out the quantities v0, vf, Dv, vAve, a, Ds and Dt: If an object’s initial velocity is 10 cm/s, and it accelerates uniformly through 69 cm in 6 seconds, then what is its acceleration?

Using the equations which govern uniformly accelerated motion determine vf, v0, a, Ds and Dt for an object which accelerates at .5 cm/s/s through a distance of 69 cm, ending with velocity 10 cm/s.

Problem Number 4

A projectile leaves the edge of a table at 34 cm/s, then falls freely a distance of 149 cm to the floor. How far does it travel in the horizontal direction during the fall?

Problem Number 5

For a certain pendulum, periods of T = 1.078, 1.360222, 1.558425 and 1.716331 seconds are observed for respective lengths L = 10, 20, 30 and 40 units.

Determine whether the transformation T -> T² or T -> T³ linearizes the function better.
Determine the equation of the resulting straight line, and solve the equation for T.

Use your equation to determine the period of a pendulum whose length is 53.90081 units.
Use your equation to determine the length of a pendulum whose period is 2.401274 seconds.