A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 27 ft/s. Its height in feet after t seconds is given by y=27t-29t^2.

Question

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 27 ft/s. Its height in feet after t seconds is given by y=27t-29t^2.

A. Find the average velocity for the time period beginning when t =3 and lasting

0.01s:

0.005s:

0.002s:

0.001s:

NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator.

B. Estimate the instantaneous velocity when t=3.

Answer:

Answer 1

For part A) use the definition, average velocity = change in displacement / difference in time.

For part B) instantaneous velocity = derivative of displacement with respect to time