Phy 121
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The problem:
A ball starts with velocity 4 cm/sec and ends with a velocity of 10 cm/sec.
What is your best guess about the ball's average velocity?
answer/question/discussion: The ball gains in speed
Without further information, why is this just a guess?
answer/question/discussion:There is no reference to how long did it d\take for the ball to gain and over what distance did the ball gain in speed
If it takes 3 seconds to get from the first velocity to the second, then what is your best guess about how far it traveled during that time? there was a change in 12 cm following the equation of distance=velocity*time
answer/question/discussion:
At what average rate did its velocity change with respect to clock time during this interval?
answer/question/discussion: the rate of change would be calculated by the velocity/time or 4/3. thus for each second, the velocity gained 1.3 cm/sec
This would be so if the object gained 4 m/s of velocity in the 3 seconds.
However the gain is not 4 m/s.
The ball started with velocity 4 cm/sec and ended with a velocity of 10 cm/sec.
What is the definition of rate of change?
What is the change in velocity?
What is the change in clock time?
What therefore is the requested average rate of change?
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10 min
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You haven't correctly applied the definition of rate of change, though you certainly had the right idea on that last question.
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