(c) The vector equation that defines average velocity during a time interval At = t - i į A (; -1) (1; -n) Explain why the relative lengths of the displacement-vector components you drew in parts (a) and (b) should be proportional to the lengths of the corresponding velocity vector components. Hint: Remember that velocity equals the change in displacement over the change in time.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter3: Vectors
Section: Chapter Questions
Problem 39PQ
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(C) The vector equation that defines average velocity during a time interval At =t - iį
A
(12-1)
(1; -4)
Explain why the relative lengths of the displacement-vector components you drew in
parts (a) and (b) should be proportional to the lengths of the corresponding velocity
vector components. Hint: Remember that velocity equals the change in displacement over the
change in time.
Transcribed Image Text:(C) The vector equation that defines average velocity during a time interval At =t - iį A (12-1) (1; -4) Explain why the relative lengths of the displacement-vector components you drew in parts (a) and (b) should be proportional to the lengths of the corresponding velocity vector components. Hint: Remember that velocity equals the change in displacement over the change in time.
(a) displacement vector AF is shown in the diagram below. Draw and label the x-component
of the displacement vector (denote it as AT) of the vector Ar. Place the tail of the vector at x,
y. Hint: This vector component points in the x-direction only.
X1,Y1
AF
X2,y2
(b) Once again, the displacement vector Ar is shown in the diagram below. Draw and label the
ycomponent of the displacement vector (denote it as Ay) of the vector AF. Place the tail of
the vector at x, y Hints: This component points in the y-direction only and the length of Ay is
less than the length of Aï.
X1,Y1
X2,y2
Transcribed Image Text:(a) displacement vector AF is shown in the diagram below. Draw and label the x-component of the displacement vector (denote it as AT) of the vector Ar. Place the tail of the vector at x, y. Hint: This vector component points in the x-direction only. X1,Y1 AF X2,y2 (b) Once again, the displacement vector Ar is shown in the diagram below. Draw and label the ycomponent of the displacement vector (denote it as Ay) of the vector AF. Place the tail of the vector at x, y Hints: This component points in the y-direction only and the length of Ay is less than the length of Aï. X1,Y1 X2,y2
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