Physics 163

Unit 1: One-Dimensional Kinematics

Problem Set C

The following selection of problems are sample problems. Individual student problem sets will vary since numerical information is randomly-generated.

Directions:

For the following problems:

• compute the unknown quantity and enter the answer in the blank.
• give regard to positive and negative values and include the sign in the answer (if negative).
• do not round any computed numbers until the last calculation.
• enter your answers accurate to the second decimal place (unless told otherwise).

Multiple Choice:

Which of the following statements are true? Choose all that apply by listing their letter in alphabetical order with no spaces, commas, or other marks between letters.

a. Suppose that a line on a velocity-time graph starts at some given 'y-coordinate' (say 2 m/s), slopes upward to a higher point, and then back downward to the initial 'y-coordinate.' This would be representative of an object moving away from its original position and later returning to it.

b. The displacement of an object can be found on a velocity-time graph by measuring the total area between the curve and the time-axis; this value can be either + or -.

c. A straight, diagonal line on a velocity-time graph represents an object moving with a constant acceleration.

d. A straight-diagonal line which extends across the time-axis on a velocity-time graph represents an object which slows down, changes direction and then speeds up.

e. A straight, diagonal line on a velocity-time graph represents an object moving with a constant velocity.

f. An object which moves in the negative direction and slows down would be represented on a velocity-time graph by a line with negative slope.

g. If an object moves with a negative velocity and slows down, then its acceleration is negative.

h. If an object moves in the negative direction and slows down, the velocity-time graph would be an upward-sloping line located beneath the time axis.

i. A horizontal line on a velocity-time graph represents an object which is not changing its velocity.

j. The slope of a line on a velocity-time graph is representative of an object's acceleration.

(List the letters of all TRUE statements in alphabetical order; no spaces; no punctuation marks.)

Problem 1:

 Consider the velocity-time graph at the right. Determine the acceleration (in m/s/s) of the object whose motion is represented by the graph. (If negative, then enter a negative answer.)

Problem 2:

 Consider the velocity-time graph at the right. Determine the acceleration (in m/s/s) of the object whose motion is represented by the graph. (If negative, then enter a negative answer.)

Problem 3:

 Consider the velocity-time graph at the right. Determine the acceleration (in m/s/s) of the object at 5.8 seconds.

Problem 4:

 Consider the velocity-time graph at the right. Determine the acceleration values (in m/s/s) of the object at 1.4 seconds, at 11.6 seconds, and at 17.6 seconds. Add the three acceleration values together and enter the answer in the answer field.

Problem 5:

 Consider the velocity-time graph at the right. Determine the acceleration (in m/s/s) of the object at a time of 3.0 seconds.

Problem 6:

 Consider the velocity-time graph at the right. Determine the displacement (in m) of the object after a time of 2 seconds.

Problem 7:

 Consider the velocity-time graph at the right. Determine the displacement (in m) of the object during the entire 20 seconds of motion. (If negative, then enter a negative answer.)

Problem 8:

 Consider the velocity-time graph at the right. Determine the displacement (in m) of the object during the entire 20 seconds of motion.

Problem 9:

 Consider the velocity-time graph at the right. Determine the displacement (in m) of the object during the first 16 seconds of motion.

Problem 10:

 The velocity-time graph at the right depicts the motion of a two-stage rocket. At what time (in seconds) does the rocket change its direction and begin to fall from its 'peak'?

Problem 11:

 Consider the velocity-time graph at the right. Determine the displacement (in m) of the object during the first 8 seconds of motion.

Problem 12:

 Consider the velocity-time graph at the right. Identify all the times (in seconds) that the object made a direction change. Add these times together and enter the sum in the answer field.

Problem 13:

 Consider the velocity-time graph at the right. Identify all the acceleration values (in m/s/s) for the various sections of the graph. Add the values together and enter the sum in the answer field. When summing values, consider their + or - sign.

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