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?
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
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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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?
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