Question

The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds. a.) s = 6t^3 + 8t^2 + 5, -3 ≤ t ≤ -1 Find the body's average velocity for the given time interval. b.) s = -t^3 + 8t^2 - 8t, 0 ≤ t ≤ 8 Find the body's velocity and acceleration at the end of the time interval.

Name: the function s ft gives the position of a body moving on a coordinate line with s in meters and t in secondsa s6t38t25 3t 1find the bodys average velocity for the given time intervalb s t3 8 16131
Uploaded: 2022-05-31T14:30:01-08:00
Duration: 4 min 7 s
Channel: Adi S
Description: the function s ft gives the position of a body moving on a coordinate line with s in meters and t in secondsa s6t38t25 3t 1find the bodys average velocity for the given time intervalb s t3 8 16131

          The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.

a.) s = 6t^3 + 8t^2 + 5, -3 ≤ t ≤ -1
Find the body's average velocity for the given time interval.

b.) s = -t^3 + 8t^2 - 8t, 0 ≤ t ≤ 8
Find the body's velocity and acceleration at the end of the time interval.

Added by Amanda B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

05/31/2022

Step 1

Given position function: \(s = 6t^3 + 8t^2 + 5\), \(-3 \leq t \leq -1\) Average velocity formula: \(V_{\text{avg}} = \frac{s(-1) - s(-3)}{(-1) - (-3)}\) ** Show more…

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The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds. a.) s = 6t^3 + 8t^2 + 5, -3 ≤ t ≤ -1 Find the body's average velocity for the given time interval. b.) s = -t^3 + 8t^2 - 8t, 0 ≤ t ≤ 8 Find the body's velocity and acceleration at the end of the time interval.