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In Example $6,$ find the average velocity of the object with respect to time between 3.00 s and 6.00 s.
Calculus 2 / BC
Chapter 26
Applications of Integration
Section 6
Other Applications
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for this problem we are asked to find the average velocity of the object of a falling object with respect to time between three seconds and six seconds. So in this case we have that V average where vehicles 32 T the average will be equal to the integrate from or excuse me. The integral from. Let's see from three up to six of 32 T D. T. Over six minus three. So that will then be 1/3 times 32 t squared over two evaluated from 3 to 6. If we then evaluate this we'll have actually, let me fix this up here. We have 32/6 times 36 over or a knot over to just 36 -9 Which would then be 32/6 times 27. Yes. So we'll find that the average velocity will be 144 I believe. In this case the units are in terms of feet. Let me double check here. Yes. The average velocity would be 144 ft/s.
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