Practice Problem: For a fifth set of maneuvers, the astronaut's partner calculates her average acceleration over the 2 s interval to be -0.5 m/s². If the initial velocity of the astronaut was -0.4 m/s, what was her final velocity? Did she speed up or slow down over the 2 s interval? Answers: -1.4 m/s, speed up. ino
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
I just need the practice problem solved with work shown. The rest of the image provides the information needed to solve the problem. The correct answer is also provided to check work. The info starts at example 2.3
![Units: m/s²
Notes:
dav, x
V2x
Ulx
12 - 11
AUx
At
|
S
(2.3)
Average acceleration is a vector.
• It describes how the velocity is changing with time.
●
• The sign of the average acceleration is not necessarily the same as the sign of the
velocity. Furthermore, if the object is slowing down, then it does not necessarily
follow that the acceleration is negative. Similarly, if the object is speeding up, it does
not necessarily follow that it has positive acceleration.
U2x = 1.2 m/s (speeding up);
(a) U₁x = 0.8 m/s,
(b) Ulx = 1.6 m/s,
(c) U₁x = -0.4 m/s,
U2x =
1.2 m/s (slowing down);
U2x =
-1.0 m/s (speeding up);
(d) v₁x = -1.6m/s,
Ulx
V2x = -0.8 m/s (slowing down).
If t₁ = 2 s and t₂ = 4s in each case, find the average acceleration for each set of data.
close to 200 m
the average v
is because, fr
displacement
EXAMPLE 2.3 Acceleration in a space walk
In this example we will use Equation 2.3 to calculate the acceleration of an astronaut on a space walk. The
astronaut has left the space shuttle on a tether to test a new personal maneuvering device. She moves along
a straight line directly away from the shuttle. Her onboard partner measures her velocity before and after
certain maneuvers, and obtains these results:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28764828-4d1c-44b8-9544-7d79c8b69e6b%2Fe00a9dc3-2ba0-4c66-8d6c-62208ba17513%2Fibh3gxp_processed.jpeg&w=3840&q=75)
![36
CHAPTER 2 Motion Along a Straight Line
SOLUTION
SET UP We use the diagram in Figure 2.11 to organize our data.
Part (a)
Part (b)
Part (c)
Part (d)
BEFORE
Vlx = 0.8 m/s
Vlx = 1.6 m/s
U1x
Vlx = -0.4 m/s
Ulx = -1.6 m/s
AFTER
U2x
→→→→x
1.2 m/s
dansla
U2x = 1.2 m/s
U2x = -0.8 m/s
at boong sa
A FIGURE 2.11 We can use a sketch and table to organize the
information given in the problem.
SOLVE To find the astronaut's average acceleration in each case, we use
Aux/At.
the definition of average acceleration (Equation 2.3): Aav,x
The time interval is At = 2.0 s in all cases; the change in velocity in
each case is AUx = U2x - Ulx.
Δυχ
1.2 m/s 0.8 m/s
Imor
Part (a): dav, x
Part (b): dav, x
Part (c): dav, x
Part (d): dav, x
=
=
=
-
4s2s
1.2 m/s - 1.6 m/s
= -0.2 m/s²;
4s2s agabova sil
= +0.2 m/s²;
-1.0 m/s - (-0.4 m/s)
4s-2s
-
-0.8 m/s (-1.6 m/s)
4s2s
=
-0.3 m/s²;
=
-
REFLECT The astronaut speeds up in cases (a) and (c) and slows down
in (b) and (d), but the average acceleration is positive in (a) and (d) and
U2x = -1.0 m/s oor negative in (b) and (c). So negative acceleration does not necessarily
indicate a slowing down.
-
362
2014
20
+0.4 m/s². VAS
to bolovadi nodw
Practice Problem: For a fifth set of maneuvers, the astronaut's partner
calculates her average acceleration over the 2 s interval to be -0.5 m/s².
If the initial velocity of the astronaut was -0.4 m/s, what was her final
velocity? Did she speed up or slow down over the 2 s interval? Answers:
-1.4 m/s, speed up.
pony
10000
Example 2.3 raises the question of what the sign of acceleration means and how
relates to the signs of displacement and velocity, Recou
istalle
x component) is defined](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28764828-4d1c-44b8-9544-7d79c8b69e6b%2Fe00a9dc3-2ba0-4c66-8d6c-62208ba17513%2Fuxphusr_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)