SOLUTION: The velocity v (m/s) of a body t seconds after a certain instant is given by the equation below. Using definite integration determine the total distance moved after 10 seconds, gi

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Question 877202: The velocity v (m/s) of a body t seconds after a certain instant is given by the equation below.
Using definite integration determine the total distance moved after 10 seconds, given that at time t=0 the distance is also 0 if:
v=2t^3-3t^2+2t+7
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The velocity v (m/s) of a body t seconds after a certain instant is given by the equation below.
Using definite integration determine the total distance moved after 10 seconds, given that at time t=0 the distance is also 0 if:
v=2t^3-3t^2+2t+7
-----------------------------------
INT%28t%29+=+t%5E4%2F2+-+t%5E3+%2B+t%5E2+%2B+7t+%2B+C
--> C = 0
==============================
INT(10) = 5000 - 1000 + 100 + 70 = 4170
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The distance is from (0,0) to (10,4170)
Do you know how to find the distance along the function?