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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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