A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 24 ft/s. Its height in feet after t seconds is given by y=24t-26t^{2}.
(A) Find the average velocity for the time period beginning when t=3 and lasting
(i) .01 s:
(ii) .005 s:
(iii) .002 s:
(iv) .001 s:
NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator.
(B) Based on the above results, estimate the instantaneous velocity when t=3.