5. The position of a particle is given by the equation st3-6t2 +9t where t is measured in seconds and s is in meters. A) Find the velocity at time t. B) What is the velocity at 2s? At 4s? C) When is the particle at rest? D) When is the particle moving forward (that is in the positive direction)? E) Find the acceleration at time t F) Find the acceleration at 4s? G) When is the particle speeding up? When is it slowing down?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 44RE
Question
5. The position of a particle is given by the equation st3-6t2 +9t where t is measured in seconds
and s is in meters.
A) Find the velocity at time t.
B) What is the velocity at 2s? At 4s?
C) When is the particle at rest?
D) When is the particle moving forward (that is in the positive direction)?
E) Find the acceleration at time t
F) Find the acceleration at 4s?
G) When is the particle speeding up? When is it slowing down?
Transcribed Image Text:5. The position of a particle is given by the equation st3-6t2 +9t where t is measured in seconds and s is in meters. A) Find the velocity at time t. B) What is the velocity at 2s? At 4s? C) When is the particle at rest? D) When is the particle moving forward (that is in the positive direction)? E) Find the acceleration at time t F) Find the acceleration at 4s? G) When is the particle speeding up? When is it slowing down?
Expert Solution
steps

Step by step

Solved in 4 steps with 2 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