Approximating Position with Riemann Sums

[astasiamancini]

The question provides a table of values for time and velocity.

Part c of the question asks to use a Riemann sum to approximate (not specifying which one). Part d asks what the answer to part c represents and to explain my reasoning. The answer that I got for the sum is 58.5 feet, but I do not know what this really means.

 

[MarkFL]

As velocity is the time rate of change of position, then such a summation of velocities will approximate the change in position. It would be helpful though if you posted the problem in its entirety. :D