Given a velocity function v(t) = 3t-5 (in meters per second) for a particle in motion from time t = 0 to time t=3. When t=1, its position is at 2 meters. a) Find the net displacement of the particle. b) Find the total distance traveled by the particle over a time interval [0,3]. c) Find the position of the particle at t=3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
icon
Related questions
Question
Given a velocity function v(t) = 3t-5 (in meters per second) for a particle in motion
from time t = 0 to time t=3. When t=1, its position is at 2 meters.
a) Find the net displacement of the particle.
b) Find the total distance traveled by the particle over a time interval [0,3].
c) Find the position of the particle at t=3.
Transcribed Image Text:Given a velocity function v(t) = 3t-5 (in meters per second) for a particle in motion from time t = 0 to time t=3. When t=1, its position is at 2 meters. a) Find the net displacement of the particle. b) Find the total distance traveled by the particle over a time interval [0,3]. c) Find the position of the particle at t=3.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning