What parameter of the motion is given by the slope of the velocity vs time curve? How does this value compare to the acceleration calculated in part 2.A.a. Explain.? What parameter of the motion is given by the y-intercept of the velocity vs time curve? Explain.?
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.
What parameter of the motion is given by the slope of the velocity vs time curve? How does this value compare to the acceleration calculated in part 2.A.a. Explain.?
What parameter of the motion is given by the y-intercept of the velocity vs time curve? Explain.?
![Part 2: Non-uniform (but constant acceleration) Motion
A. Uniform acceleration away from the Sensor:
a) For the second part of the laboratory you will essentially repeat the exercises of Part 1, but
this time the data will represent an object undergoing uniform (same everywhere) and
constant (same over time) acceleration. To create a uniformly accelerating cart on the track
raise the end of the track near the sensor slightly using books from the laboratory bookshelf.
Start the LQ measurement program, release the cart and let it slide away from the sensor.
This time the resulting plot of position vs time is not linear but quadratic (i.e. x varies as t²).
Highlight the part of the data representing the moving cart, do a curve-fitting for that
segment of data using a quadratic model equation (y (x) = Ax² + Bx + C), and present your
numerical results below.
5.5442
-0.45406
Using your data for the fitting parameters and the kinematic equation for position vs time,
determine your experimental values for initial velocity and acceleration. Show your calculations
and results here:
2 (a)
A=11.972
cceleration
B =
23.944
Initial velocity=5.5442](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0cf00fa-b2e9-4b1a-9c5e-af2b9cdd8030%2F58099d73-32c4-4f91-baad-051cd572114f%2F54avsbl_processed.png&w=3840&q=75)
![b) Get a printout of position vs time along with the curve-fitting result from one of the local
printers in the laboratory. Be sure your plot fills most of the screen, i.e. the position vs time
curve should include as much of a 3 second recording as possible. Include that printout with
your laboratory write-up. Using that printout pick 5 specific time values within your
measurement range, draw a reasonable tangent line to the curve at those 5 points, then
determine the approximate numerical value of the slope of that tangent line and record that
data here:
Time (s)
1.25
1.30
1.35
1.40
1.45
Slope (m/s)
1.015
1.046
1.0TT
1.097
1.1347
From your reading of the chapter on kinematics you should have picked up on the results that the
slope of the position vs time curve is the numerical value of the velocity at that time. Make a
plot of slope (i.e. velocity) vs time from the data table. You can do it using graph paper or a GC
or Excel. The data should suggest a linear relationship between velocity and time, so from
whatever method you used list the fitting parameter for a linear regression modeling of your
data.
777-.726
1.30 -1.25
●
Slope=1.02
Intercept =
190
What parameter of the motion is given by the slope of the velocity vs time curve? How
does this value compare to the acceleration calculated in part 2.A.a. Explain.
****What parameter of the motion is given by the y-intercept of the velocity vs time curve?
Explain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0cf00fa-b2e9-4b1a-9c5e-af2b9cdd8030%2F58099d73-32c4-4f91-baad-051cd572114f%2F9zt8p3q_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Slope of velocity vs time graph represents the value of acceleration.
From graph , slope = 1.02 m/s².
From 2a, acceleration= 23.94 m/s².
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