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The position of a particle is described by the function f (t) = t – ť² + 6t + 1. Consider the initial position to be the position att = 0. The displacement for t = 6 i . | units.

The position of a particle is described by the function f (t) = t – ť² + 6t + 1. Consider the initial position to be the position att = 0. The displacement for t = 6 i . | units.

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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The position of a particle is described by the function f (t) = t - t² + 6t + 1. Consider the initial position to be the position at t = 0. The displacement for t 6 is units.
Transcribed Image Text:The position of a particle is described by the function f (t) = t - t² + 6t + 1. Consider the initial position to be the position at t = 0. The displacement for t 6 is units.
Expert Solution
Step 1

The position of a particle is described by the function 

ft=t33-52t2+6t+1                (i)

At t=0, it's initial position is 

f0=1

Putting t=6 in )i)

f6=633-5262+6·6+1=19

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