An ion\'s position vector is initially r Overscript right-arrow EndScripts equal
ID: 1419719 • Letter: A
Question
An ion's position vector is initially r Overscript right-arrow EndScripts equals left-parenthesis 5.0 m right-parenthesis i Overscript EndScripts plus left-parenthesis -7.0 m right-parenthesis j Overscript EndScripts plus left-parenthesis -2.4 m right-parenthesis k Overscript EndScripts, and 9.9 s later it is r Overscript right-arrow EndScripts equals left-parenthesis -5.1 m right-parenthesis i Overscript EndScripts plus left-parenthesis -7.4 m right-parenthesis j Overscript EndScripts plus left-parenthesis -7.7 m right-parenthesis k Overscript EndScripts. In unit-vector notation, what is its average velocity during the 9.9 s?
Explanation / Answer
given
initial and final position vectors,
r1 = 5i - 7j - 2.4k
r2 = -5.1i - 7.4j - 7.7k
average velocity = (r2 - r1)/t
= ( (-5.1i - 7.4j - 7.7k) - (5i - 7j - 2.4k) )/9.9
= (-1.02i - 0.04j - 0.54k) m/s <<<<<-----Answer
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