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7 A particle moves on a straight line which passes through a fixed point 0. The displacement, s metres, of the particle from O after 1 seconds is given by s=15+21²-1³, t≥0 (a) Show that the particle is initially at rest. (b) Find the displacement of the particle when it is next at rest. (c) Find the value of t when the particle returns to its original position.

7 A particle moves on a straight line which passes through a fixed point 0. The displacement, s metres, of the particle from O after 1 seconds is given by s=15+21²-1³, t≥0 (a) Show that the particle is initially at rest. (b) Find the displacement of the particle when it is next at rest. (c) Find the value of t when the particle returns to its original position.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 43E
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7 A particle moves on a straight line which passes through a fixed point 0. The displacement, s metres, of the particle from O after 1 seconds is given by s=15+21²-1³, t≥0 (a) Show that the particle is initially at rest. (b) Find the displacement of the particle when it is next at rest. (c) Find the value of t when the particle returns to its original position.
Transcribed Image Text:7 A particle moves on a straight line which passes through a fixed point 0. The displacement, s metres, of the particle from O after 1 seconds is given by s=15+21²-1³, t≥0 (a) Show that the particle is initially at rest. (b) Find the displacement of the particle when it is next at rest. (c) Find the value of t when the particle returns to its original position.
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