(d) The motion diagram in Figure 1 is a composite diagram constructed from a video analysis of the movie .The figure shows the position of the falling ball at equally spaced time intervals of 1/15th of a second (with 2-1 = B-2 = 4-B and so on). Explain why the relative lengths of the displacement vector components should also be proportional to the lengths of the corresponding velocity vector components that represent the average velocity during each time interval.

Elements Of Electromagnetics
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Projectile Motion Vectors
There are multiple ways to represent an
object's motion. If the motion is two-
dimensional and lies in a plane, some
representations include:
(1) recording xand y coordinates of the
object at different times in a data table;
(2) displaying the object's xand ylocations at
regular time intervals on a diagram;
(3) drawing vectors (arrows) showing
displacement, velocity, and acceleration and
their xand ycomponents at different times.
(4) using vector equations to represent
velocity and acceleration vectors
quantitatively.
O 10
Figure 1: A motion diagram showing a ball's
location every 1/15ths as it rolls horizontally
and then falls vertically for about 1 meter.
* Galileo Galilei, Dialogues Concerning Two New Sciences (Reprinted by Dover Publications)
Transcribed Image Text:Projectile Motion Vectors There are multiple ways to represent an object's motion. If the motion is two- dimensional and lies in a plane, some representations include: (1) recording xand y coordinates of the object at different times in a data table; (2) displaying the object's xand ylocations at regular time intervals on a diagram; (3) drawing vectors (arrows) showing displacement, velocity, and acceleration and their xand ycomponents at different times. (4) using vector equations to represent velocity and acceleration vectors quantitatively. O 10 Figure 1: A motion diagram showing a ball's location every 1/15ths as it rolls horizontally and then falls vertically for about 1 meter. * Galileo Galilei, Dialogues Concerning Two New Sciences (Reprinted by Dover Publications)
(d) The motion diagram in Figure 1 is a composite diagram constructed from a video analysis of
the movie <Lab-2 Galileo Projectile 2.mov>.The figure shows the position of the falling ball at
equally spaced time intervals of 1/15th of a second (with 2-fl = 8-2 = 4-8 and so on).
Explain why the relative lengths of the displacement vector components should also be
proportional to the lengths of the corresponding velocity vector components that
represent the average velocity during each time interval.
Transcribed Image Text:(d) The motion diagram in Figure 1 is a composite diagram constructed from a video analysis of the movie <Lab-2 Galileo Projectile 2.mov>.The figure shows the position of the falling ball at equally spaced time intervals of 1/15th of a second (with 2-fl = 8-2 = 4-8 and so on). Explain why the relative lengths of the displacement vector components should also be proportional to the lengths of the corresponding velocity vector components that represent the average velocity during each time interval.
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