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course Phy 241
1:51 pm 9/24/13
An object travels a distance of 32 cm in 17.6 seconds from start to finish. If its acceleration is uniform and its initial velocity zero, then what are its average velocity, acceleration and final velocity?
starting from zero with a steady increase in velocity:
32cm/ 17.6sec = 1.82 cm/sec is our average velocity.
Final velocity is double average velocity: 1.82cm/sec * 2 = 3.64 cm/sec
final velocity - initial velocity = average rate
3.64 cm/sec - 0 cm/sec = 3.64 cm/sec
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Final velocity - initial velocity = change in velocity, not average rate of change.
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acceleration = average rate of velocity / time
a = 3.64 cm/sec / 17.6 seconds = 0.21 cm/s / sec"
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This is the correct acceleration, which is the rate of change of velocity with respect to clock time.
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Your work looks good. See my notes. Let me know if you have any questions.