course Phy 121
If the velocity of the object changes from 2 cm / sec to 11 cm / sec in 12 seconds, then at what average rate is the velocity changing?9 cm/sec/ 12 sec = .75 cm/sec
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It requires 8.3 seconds, starting from rest, for a ball to roll the 90 centimeter length of a uniform incline.
• What is its average velocity?
o90 cm/8.3 sec = 10.84 cm/sec
An object which accelerates uniformly from rest will attain a final velocity which is double its average velocity.
• What therefore is the final velocity of this ball?
o2 * vAve = final velocity
Good, but what then is the final velocity of this ball, meaning the ball in this problem?
• At what average rate is the velocity of the ball therefore changing?
oThe average velocity doubles by the end of the experiment
What is the definition of average rate of change of velocity with respect to clock time?
What is the change in velocity?
What is the change in clock time?
What therefore is the average rate of change of velocity with respect to clock time?
At what average rate does the velocity of an airplane change, if it accelerates uniformly down a runway, starting from rest, requiring 11 seconds to cover a distance of 148 meters.
148 meters/ 11 sec = 13.45 meters/sec
This is the average rate of change of position with respect to clock time. You will need to use the reasoning in the preceding series of problems to find the average rate of change of velocity.
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