2. A particle is moving along a horizontal line. The position of the particle from the origin after t minutes of travel is measured to be s(t) = 21 – 2712 + 84t + 25 feet, where t2 0. (a) Find the acceleration of the particle at all instances when the particle changed direction. (b) Determine the intervals of time when the particle is speeding up.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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2. A particle is moving along a horizontal line. The position of the particle
from the origin after t mimutes of travel is measured to be
s(t) = 2t - 271 + 841 +25
feet, where t>0.
(a) Find the acceleration of the particle at all instances when the
particle changed direction.
(b) Determine the intervals of time when the particle is speeding up.
Transcribed Image Text:2. A particle is moving along a horizontal line. The position of the particle from the origin after t mimutes of travel is measured to be s(t) = 2t - 271 + 841 +25 feet, where t>0. (a) Find the acceleration of the particle at all instances when the particle changed direction. (b) Determine the intervals of time when the particle is speeding up.
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