course PHY 231
If the velocity of the object changes from 5 cm / sec to 15 cm / sec in 9 seconds, then at what average rate is the velocity changing?We can evaluate the average rate that the velocity is changing by dividing our change in velocity (10cm/sec) by our time interval of 9 secs. This will give us our approximate change in velocity or average acceleration of 0.9 cm/sec/sec.
A ball rolling from rest down a constant incline requires 3.9 seconds to roll the 49 centimeter length of the incline.
What is its average velocity?
The ball's average velocity is determined by dividing the our 'ds of 49 cm by our time interval of 3.9s and we discover that the ball has an approximate average velocity of 12.6 cm/s.
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?
The final velocity of the ball will approximately be 25.2cm/s.
What average rate is the velocity of the ball therefore changing?
The ball's velocity changes by 12.6cm/s over a period of 3.9s giving us an approximate average rate of velocity change of 3.2cm/sec/sec.
What is the ball's initial velocity?
What is its final velocity?
What therefore is its change in velocity?
What therefore is its average rate of change of velocity with respect to clock time?
Note that none of the above quantities is equal to the average velocity of the ball.
An automobile accelerates uniformly down a constant incline, starting from rest. It requires 13 seconds to cover a distance of 110 meters. At what average rate is the velocity of the automobile therefore changing?
The automobile is moving at an approx. average velocity of 8.5m/s. It has an approximate change in velocity of 0.6m/sec/sec. "
What is the ball's initial velocity?
What is its final velocity?
What therefore is its change in velocity?
What therefore is its average rate of change of velocity with respect to clock time?
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