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Learning Goal:
Suppose an object has an initial velocity v₁ at time t; and later, at time tf, has
velocity Vf. The fact that the velocity changes tells us the object undergoes an
acceleration during the time interval At = tf — t₁. From the definition of average
acceleration,
Figure
a =
15
Vf - Vi
tf-ti
=
Δύ
At
we see that the acceleration vector points in the same direction as the vector Av.
This vector is the change in the velocity Av = f - Vi, so to know which way the
acceleration vector points, we have to perform the vector subtraction of — V₁. This
Tactics Box shows how to use vector subtraction to find the acceleration vector.
-
9
1 of 1
Part B
Below is another motion diagram for an object that moves along a linear path. The dots are separated by equal intervals and represent the position of the object at five subsequent instants. The
vectors V21, 32, 43, and 54 represent the average velocity of the object during the four corresponding time intervals. Draw the velocity vectors -√21 and —√43 and the acceleration vectors a31 and
a53 representing the changes in average velocity of the object during the first two and last two time intervals, respectively.
For the velocity vectors, both the length and direction will be graded. For the acceleration vectors, only the direction will be graded.
+ ΣΠ
No elements selected
V21
V32
V43
i
V54
?
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Transcribed Image Text:Learning Goal: Suppose an object has an initial velocity v₁ at time t; and later, at time tf, has velocity Vf. The fact that the velocity changes tells us the object undergoes an acceleration during the time interval At = tf — t₁. From the definition of average acceleration, Figure a = 15 Vf - Vi tf-ti = Δύ At we see that the acceleration vector points in the same direction as the vector Av. This vector is the change in the velocity Av = f - Vi, so to know which way the acceleration vector points, we have to perform the vector subtraction of — V₁. This Tactics Box shows how to use vector subtraction to find the acceleration vector. - 9 1 of 1 Part B Below is another motion diagram for an object that moves along a linear path. The dots are separated by equal intervals and represent the position of the object at five subsequent instants. The vectors V21, 32, 43, and 54 represent the average velocity of the object during the four corresponding time intervals. Draw the velocity vectors -√21 and —√43 and the acceleration vectors a31 and a53 representing the changes in average velocity of the object during the first two and last two time intervals, respectively. For the velocity vectors, both the length and direction will be graded. For the acceleration vectors, only the direction will be graded. + ΣΠ No elements selected V21 V32 V43 i V54 ?
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