Acceleration is the rate of change of velocity. The velocity (positive means down) of a pumpkin thrown off the top of Cheadle ha
ll t seconds after launch is 32???? ft/sec (until it hits the ground). (a) What is the average rate of change of velocity between ????=1 and ????=2? 1.5 feet per second per second (b) What is the average rate of change of velocity between ????=1 and ????=1.1? feet per second per second (c) If the pumpkin lands after 2.5 seconds, what is the speed of the pumpkin when it hits? feet per second
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Answer:
They both have the same angular speed.
Explanation:
The mathematical formula for angular speed is:
where is angular speed,
is a constant, and
is the period (the time it takes the marry-go-round to complete a lap).
What we can see from the formula is that, since the does not change its value, the angular speed depends only on the period T.
In this case for both the children closer to the outher edge and for the children closer to the center, the time to complete a lap is the same, because the time does not depend on where they are sitting in the marry go round. This means that the period for both is the same.
Thus, since the period for both is the same, the angular speed given by
will also be the same