?[T] For the following position functions y = s(t), an object is moving along a straight

Chapter 3, Problem 38

(choose chapter or problem)

[T] For the following position functions y = s(t), an object is moving along a straight line, where t is in seconds and s is in meters. Find

a. the simplified expression for the average velocity from t = 2 to t = 2 + h;

b. the average velocity between t = 2 and t = 2 + h, where (i) h = 0.1, (ii) h = 0.01, (iii) h = 0.001, and (iv) h = 0.0001; and

c. use the answer from a. to estimate the instantaneous velocity at t = 2 second.

\(s(t)=\frac{16}{t^{2}}-\frac{4}{t}\)

Text Transcription:

s(t)=16/t^2 - 4/t