Question

AP CALCULUS AB:

1. The distance a person can walk in time "t" is given by "d = √(t)" where "d" is measured in miles & "t" is measured in hours.

a) Find the average velocity from t = 1 to t = 4 hours. (I GOT THIS ONE; well I got 0.577 mi/hr)

b) Estimate the person's velocity at t = 4 hours.

B is what I'm confused on... I know this isn't like intense work but it's the second week of school we're still reviewing precalculus stuff. I just don't remember instantaneous velocity :o

Answer 1

b) to find the velocity you need to take the derivative of the base function so the derivative of d = sqrt(t) = 1/2t^-1/2
and plug in 4 to that

Answer 2

so .25 mi/hr?

Answer 3

yep!