a nice calculator for this is at
http://mathworld.wolfram.com/RiemannSum.html
A ball is thrown upward at time t = 9 seconds on planet Ubuntu, and its acceleration from time t=9 seconds to t=21 seconds is given by the function .
a(t) = (3) / (t - 8) m/s^2
Use 4 time intervals of equal length to overestimate, and then underestimate, the relative velocity of the rising ball from time t = 9 sec to t = 21 seconds.
(Note: ``relative'' means relative to the initial velocity at t = 9, which has not been given by the problem.)
a. Overestimate = ? m/sec.
b. underestimate = ? m/sec.
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