The equation of motion of a particle is s = t – 4t3 + t2 - t, where s is in meters and t is in seconds. (Assume t 2 0.) (a) Find the velocity, v(t), and acceleration, a(t), as functions of t. v(t) = a(t) = (b) Find the acceleration (in m/s2) after 1.2 s. a(1.2) = m/s? (c) Graph the position, velocity, and acceleration functions on the same screen.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
Question
The equation of motion of a particle is s = t* - 4t3 + t- - t, where s is in meters and t is in seconds. (Assume t > 0.)
(a) Find the velocity, v(t), and acceleration, a(t), as functions of t.
v(t)
a(t)
(b) Find the acceleration (in m/s2) after 1.2 s.
a(1.2) =
m/s?
(c) Graph the position, velocity, and acceleration functions on the same screen.
y
y
a
a
1
3
4
3
4
-5
-5
- 10
- 10
- 15
-15
- 20
- 20
y
y
S
a
V
II
Transcribed Image Text:The equation of motion of a particle is s = t* - 4t3 + t- - t, where s is in meters and t is in seconds. (Assume t > 0.) (a) Find the velocity, v(t), and acceleration, a(t), as functions of t. v(t) a(t) (b) Find the acceleration (in m/s2) after 1.2 s. a(1.2) = m/s? (c) Graph the position, velocity, and acceleration functions on the same screen. y y a a 1 3 4 3 4 -5 -5 - 10 - 10 - 15 -15 - 20 - 20 y y S a V II
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
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:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage