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The position of a particle on the x-axis at time t, t > 0, is s(t) = e^t with t measured in seconds and s(t) measured in feet. What is the average velocity of the particle fo…
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The position of a particle on the x-axis at time t, t > 0, is s(t) = e^t with t measured in seconds and s(t) measured in feet. What is the average velocity of the particle fo…
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Apr 27, 2018
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The position of a particle on the x-axis at time t, t > 0, is s(t) = e^t with t measured in seconds and s(t) measured in feet. What is the average velocity of the particle for 0 ≤ t ≤ In3?
3
2/ln3
3/ln3
3/2
Also please just tell me which on it is
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0 ≤ t ≤ ln(3)
When t = 0
when t = ln(3)
We have two coordinates: (0, 1) and (ln(3), 3)
The rate of change = The difference in y-coordinates ÷ the difference in x-coordinates
The rate of changes = [3 - 1] ÷ [ln(3) - 0] = 2/ln(3)
Answer: 2/ln(3)
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May 3, 2018
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