All Questions
Tagged with acceleration kinematics
62 questions with no upvoted or accepted answers
3
votes
2
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Acceleration in terms of displacement
I am having problems understanding the derivation of acceleration in terms of displacement. The first step is fine:
$$a(x) = \frac{\mathrm dv(x)}{\mathrm dt}
= \frac{\mathrm dv(x)}{\mathrm dx} \frac{\...
- 131
3
votes
0
answers
398
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Possible to convert accelerometer $x,y,z$ measurements into quaternion?
I have an inertial measurement unit (IMU) with an accelerometer that reports the acceleration (a) along the $x$, $y$ and $z$-axis in milli-$g$. I can get the Euler angles for roll ($\phi$) and pitch ($...
- 31
2
votes
0
answers
72
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Best way to calculate velocity, acceleration and jerk with different temporal resolutions
I have body motion tracking data I am using for my thesis. I am trying to find relationships between the kinematics of the body of speakers, and the acoustic measures of their speech (e.g. speech ...
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2
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0
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80
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Equation of Motion of Rigid Body Represented by Twist and Derivative of Twist
This question is an extension of question Understanding terms Twist and Wrench.
Assuming there is a rigid body with body twist denoted as $\mathcal{V}_{b}=\left(\boldsymbol \omega_{b}, \boldsymbol v_{...
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2
votes
1
answer
606
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How to determine the minimum "Arrival Distance" given a maximum velocity, acceleration and jerk along with an initial velocity and acceleration?
Problem
Given the following:
$A$ - maximum acceleration.
$J$ - constant jerk (the rate of change of acceleration).
$v$ - initial velocity.
$a$ - initial acceleration (where, in practice, $a ∈ [-A, A]$...
- 121
2
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0
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What am I not understanding about this double integration of acceleration to get position?
Brilliant.org has a module on classical mechanics and I'm having difficulty with a mathematical step. They want you to represent position in terms of acceleration and then to solve the double integral ...
user158309
2
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0
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132
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Are there bounds or measurements on the derivative of acceleration (jerk)
The title says it all. Is there a physical maximum value to the 3rd derivative of position?
Common Lore says that there is not and that jerk does not play any role in physics. My guess is that there ...
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2
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0
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380
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How to model an accelerometer measurements on a car wheel?
I am working on kinematically modelling an accelerometer on a car wheel.
When working on the initial conditions, I am confused whether or not I should use the gravitational acceleration since there ...
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1
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2
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327
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Does pressure in a closed container increase or decrease with increase in acceleration of the container?
Let there be some air contained in a vessel whose walls are elastic. The vessel is closed and we impart some velocity to it. Please note that the gas inside the container is stationary w.r.t. the ...
- 123
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0
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11 years to cross 30,000 light-years?
I solved exercise 6.1 of "Gravitation" by Misner, Thorne and Wheeler and reached the impressive result that it takes only 11 years of proper time to reach the center of the Milky Way (~30,...
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3
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How to deal with functions of kinematic quantities not defined in terms of time?
How do I deal with functions of kinematic quantities which are not defined with respect to time?
For instance, given acceleration as a function of velocity or displacement, how would I go about ...
- 19
1
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2
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Linearity in acceleration in kinematics (Intro to Physics)
I am a student in an Introduction to Physics class, and I have the following question which I am confused about, and how two parts of the answers relate to each other. (We are doing 1d kinematics)
A ...
user275102
1
vote
1
answer
95
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Formula for deceleration of a car with transmission disengaged
Related to this answer to a question about the speed of an accelerating car, I'm looking for a formula for the speed of a car decelerating in neutral (with the transmission disengaged, i.e. no torque, ...
- 133
1
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1
answer
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Determining acceleration in order to meet a space-time-velocity reservation
An Example
A train on a single line track is told to be at position $x_{res}$, at time $t_{res}$, and to be moving at exactly $v_{res}$ when it hits that point. Where $_{res}$ denotes the reservation....
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1
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0
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Graph analysis of accelerometer data
I used my mobile accelerometer sensor to collect data from a moving bike where I held it in my hand in a way that the smartphone sensor +Y axis is in the direction of the moving bike always.
This can ...
- 19
1
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0
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Does the proper four-acceleration $A^{\mu} = (0,0)?$
Let the proper four-position vector $x^{\mu}(\tau) = (0, \tau)$. Differentiating this successively wrt $\tau$ I get the four-velocity $u^{\mu}(\tau) = (0, 1)$ and then the four-acceleration $A^{\mu}(\...
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1
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1
answer
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Acceleration in musical tempo
Having an initial tempo in a musical phrase (say 60 notes per minute) and the whole duration of the phrase (say the phrase lasts for 4 seconds and consists of 8 notes) is it possible to calculate an ...
user136820
1
vote
0
answers
104
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3 axis accelerometer
I want to use the above sensor ( triaxle accelerometer) as to find the acceleration of the legs calf, when this is attached to our leg. This device gives me acceleration in x,y,z direction. I am ...
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1
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0
answers
527
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Needed acceleration input to reach a target point
I have a point mass traveling on a 2D plane with some initial velocity v and initial position r. The point mass is able to ...
- 111
1
vote
1
answer
14k
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Position / velocity / acceleration vs time graphs when falling towards a black hole
In Newtonian physics, as far as I understand it, for a small object falling towards a massive object, the graphs of position, speed and acceleration vs time look like this:
(If the massive object is ...
- 584
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0
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Physical and Diagrammatic representation of $a$=undefined when $v$=0 according to $a$=$vdv$/$dx$
$a$=acceleration
$v$=velocity
$x$=position along x axis
$t$=time instant
My teacher derived the $a$=$v$$dv$/$dx$ formula as follows
Assume a particle at time $t$ is at $x$ position having $v$ velocity
...
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1
answer
43
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Are terms tangential acceleration and normal acceleration only used for instantaneous velocity?
Are terms tangential acceleration and normal acceleration only used
for instantaneous velocity?
- 23
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151
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About jounce (snap)
About jounce (snap). So change in acceleration is know as jerk, so like this is still imaginable but what is change in jerk, like can you give some real life example where that is happening.
0
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1
answer
90
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An object falling from very far would have varying acceleration, how can that be accounted for?
I want to have a function that describes where a falling object is.
Like this one:
h(t) = -g*t²/2
But this one is for the usual close to the surface case, where there is no variation of gravity due to ...
- 101
0
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0
answers
83
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Changing velocity even when acceleration is zero
Consider a particle performing circular motion with position given by
$$\vec r=r_0e^{\beta t}\hat r$$ such that $\dot\theta=\omega$, is a constant.
The velocity becomes
$$\vec v=\beta r_0e^{\beta t}\...
0
votes
2
answers
179
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Object starts moving and stops moving?
An object starts moving at point $a$ at $t_a$, and stops at point $b$ at $t_b$ with constant velocity $\vec v$.
Does this sentence mean the objects accelerate tremendously from $0$ at $t_a$ to $\vec v$...
- 209
0
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2
answers
150
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Layman question about relativistic acceleration
Alan is a hypothetical observer in a hypothetical spaceship accelerating at 1g. Alan would feel 1g of gravity because of his acceleration, and his speed will increase by apx 9.8m per second.
What ...
- 1
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0
answers
72
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Acceleration in polar coordinates
Is transverse acceleration always perpendicular to the normal acceleration, in polar coordinates?
0
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0
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65
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Definition of acceleration and inertial frames of reference
Sorry for my math lacks, I hope you'll be patient even if this question will probably not be clear.
How can we define acceleration in special relativity (and in Newtonian mechanics were we apply ...
- 97
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1
answer
114
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Average velocity and acceleration
I know to obtain the average of some vectors I compute the mean of the one dimensional components of each vector and constitute the average vector. My question is : why is this untrue for average ...
- 485
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0
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66
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Deceleration to terminal velocity under constant force
I am modeling an object under a force $F$ that diminishes with distance but is considered constant at small time intervals. I am also incorporating a drag force $D$ that is opposite the direction of $...
0
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0
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81
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Finding velocity from total linear acceleration
I am new to this platform so I apologize if I am asking question in an incorrect manner
I am not a physic student hence the reason I am here to clarify some of my doubts. I have this idea of using an ...
- 1
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0
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106
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How can I convert coordinate accelerations to proper acceleration?
I need to calculate what an accelerometer would feel from the motions from a simulation. The simulation only gives position data in a global reference frame. How can I convert this global positioning ...
- 101
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262
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How to determine the distance travelled before a maximum acceleration is reached given a constant jerk?
Problem
Given:
An initial velocity and acceleration of 0.
A maximum acceleration $A$
A constant jerk $J$
How might one determine the distance $D$ traversed before the maximum acceleration $A$ is ...
- 121
0
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2
answers
283
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Is radial velocity parallel to radius of curvature or the position vector?
I'm a bit confused regarding the directions of velocities and acceleration in curvilinear motion. Assume a curvilinear motion, which is not circular. I know that tangential component of velocity and ...
- 337
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0
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Frame of Reference in Kinematics
If we have two frames of reference, say S1 and S2, and the acceleration of a particle as seen from both the frames has equal magnitude, say 4 m/s^2, then shouldn't the frames have no relative ...
0
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1
answer
112
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How much lateral acceleration during cornering is needed to flip a car?
I'm doing my IB HL Math Exploration, where I use a bit of physics. Say I have a car with mass m, center of gravity at height h, and width of 2b, and I am turning a corner, how much centrifugal ...
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1
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202
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When a body completes one revolution around a circular path will its acceleration be 0?
When a body is moving in a circular motion the acceleration keeps changing, will it be zero when it comes back to the same point it started from(will the average acceleration be 0?)
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0
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95
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Acceleration as the second derivative of displacement function
Let $x$ be displacement as a function of time $t$ and some other physical quantity $k$ such that
$ x = f(t,k) $
Now,
1) Will the acceleration $a$ be $\frac{\partial^2 x}{\partial t^2}$ or $\frac{d^...
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1
answer
66
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Average Velocity Question (isolation?)
So there is this question i've been having trouble with for the past hour. It involved a child going down a ramp on a sled at and angle theta with a total system of mass. accelerates down a hill of ...
0
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1
answer
41
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Expressing average velocity in terms of acceleration
Average velocity is usually expressed as the displacement divided by the time. For example,
$$v_{\text{avg}} = \frac{x(t)-x_0}{t}$$
I have not, however seen it expressed in terms of acceleration. ...
- 1
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4
answers
304
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Confused about Kleppner explanation of acceleration in polar coordinates
In Kleppner's "intuitive" explanation of acceleration equations in polar coordinates he uses a geometric argument based on the figures on the left, but I don't get how the angles between the ...
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3
answers
2k
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Average acceleration and centripetal acceleration
What is the difference between centripetal acceleration and average acceleration in this worked example?
If $\dfrac{\Delta v}{\Delta t}=\dfrac{v^2}{r}$ and $v=3$ m/s change in time is $1$ second and ...
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76
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How do you change the acceleration of a tennis ball, connected to a string in circular motion?
I'm a freshman in high school. In Physics we have a question in our lab that I would like to have help on. In the lab, we have a flying pig (or tennis ball) tied up to a string that's connected to the ...
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0
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128
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The helium balloon and buoyancy
Well I noticed something with a helium balloon which a little weight was tied to its rope to avoid it flying away. When the weight is on the ground and the rope is taut, I pulled it down a little and ...
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1
answer
34
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Acceleration Of A Ball (Changing Directions)
Acceleration is regarded as a change in velocity, so what will be the acceleration of this ball in the figure, as its magnitude is constant, but the direction is changing.
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1
answer
96
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Acceleration Question
I'm really confused how we have a distance formula from acceleration. I understand acceleration is the change of velocity/time, however I don't understand how you can calculate a distance based on a ...
- 71
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1
answer
27
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Finding the continuous increase in speed while diving toward the ground
https://youtu.be/HJO6WuoytGA?t=39s
In this game, the character jumps from the top of the Empire State Building (443.2m), and in a fraction of a second, he breaks Mach 1 just by releasing a great deal ...
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0
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108
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Geometric Interpretation of these equations of motion?
I was reading my Engineering Mechanics book, and it derived some strange looking integrals I'll have to apply. I could memorize them, but I'd rather understand them - then I won't have to memorize.
...
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-1
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1
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455
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How to find the direction of acceleration if an object is changing its direction of velocity but not magnitude then how we can find the direction
I am new at this topic so please do mind if my question doest make sense to you.I am trying to find out that what will be the direction of acceleration if object changes Direction of velocity but not ...
