The velocity of a turtle is recorded at 1 minute intervals (in meters per second). use the right-endpoint approximation to estimate the total distance the turtle travelled during the 5 seconds recorded. t (sec): 0 1 2 3 4 5v(t): 0.078 0.83 0.75 0.98 0.853 0.425

The total distance that the turtle traveled during the 5 seconds recorded is

Step-by-step explanation:

To estimate distance traveled of an object moving in a straight line over a period of time, from discrete data on the velocity of the object, we use a Riemann Sum. If we have a table of values

where , then we can approximate the displacement on the interval by .

Therefore the distance traveled of the object over the time interval can be approximated by

This is the right endpoint approximation.

We are given a table of values for v(t)

Applying the right endpoint approximation formula we get,

The total distance that the turtle traveled during the 5 seconds recorded is

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step-by-step explanation:

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