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course PHY 241
11/14 1
If the velocity of the object changes from 4 cm / sec to 16 cm / sec in 8 seconds, then at what average rate is the velocity changing?A ball rolling from rest down a constant incline requires 8.2 seconds to roll the 97 centimeter length of the incline.
What is its average velocity?
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?
What average rate is the velocity of the ball therefore changing?
An automobile accelerates uniformly down a constant incline, starting from rest. It requires 10 seconds to cover a distance of 132 meters. At what average rate is the velocity of the automobile therefore changing?
(16 - 4) / 8 = 12 / 8 = 1.5 cm/s^2
vAve = `ds/ `dt = 97 / 8.2 = 11.8 m/s
v_final = vAve * 2 = 23.6 m/s
23.6 / 8.2 = 2.9 m / s^2
vAve = 132 / 10 = 13.2 m/s
v_final = vAve * 2 = 26.4 m/s
26.4 / 10 = 2.64 m/s^2"
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