Question

If there is velecity is given by v=3t² + 2 and we have to find distance then we will have to integrate, then while integrating if have limits as 0 to 6 for time then what does the limits tell me
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Answer 1

Suppose we have calculated by integrating
v=3t²+2 with limits as 0 to6

And you get a distance'S'

Then the limits 0 to 6 means that you take 6 seconds to travel this 'd' distance with initial velocity 2 m/s( gets by substituting t=0 in the equation v=3t²+2)