A particle is moving along an s-axis, where s is in feet. Duringthe first 5 seconds of

Chapter 2, Problem 3

(choose chapter or problem)

A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion, the position of the particle is given by

\(s=10-(3-t)^{2}, 0 \leq t \leq 5\)

Use this position function to complete each part.

(a) Initially, the particle moves a distance of________ ft in the (positive/negative)_________ direction; then it reverses direction, traveling a distance of____________ ft during the remainder of the 5-second period.

(b) The average velocity of the particle over the 5-second period is__________ .

Equation Transcription:

s = 10 − (3 − t)2, 0 ≤ t ≤ 5

Text Transcription:

s = 10 - (3 - t)^2, 0 leq t leq 5