Let  s(t)=2t^3- 21t^2 +72t in meters be the position of a particle moving on the coordinate line after t seconds on the interval [0, 6]. a. Find the instantaneous velocity at t = 2 seconds. b. Find the acceleration at t = 5 seconds. c.When is the particle moving in a positive direction?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
icon
Related questions
Topic Video
Question

Let  s(t)=2t^3- 21t^2 +72t in meters be the position of a particle moving on the coordinate line after t seconds on the interval [0, 6].

a. Find the instantaneous velocity at t = 2 seconds.

b. Find the acceleration at t = 5 seconds.

c.When is the particle moving in a positive direction?

d. When is the particle moving in a negative direction?

e. When is the particle at rest?

Does s(0)-s(0) represent the total distance traveled from t = 0 to t = 6 seconds? Why or Why not?

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Chain Rule
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax