All Questions
Tagged with acceleration kinematics
704 questions
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Gravitational field of a moving object
Here's a simple scenario:
Let's say, that there are 2 stationary planetoids of equal mass on the Earth's orbital motion path, placed at equal distances from Earth just like on the image below:
Will ...
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1
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Need help in understanding Tangential Acceleration [closed]
I am studying Circular motion and I am confused about tangential acceleration and tangential velocity. I am studying uniform circular motion and it says the tangential acceleration is $0$ in uniform ...
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4
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Is it ever possible that the object is moving with a velocity such that its rate of change of speed is not constant but acceleration is constant?
Is it ever possible that the object is moving with a velocity such that its rate of change of speed is not constant, but rate of change of velocity is constant?
Like speed is only the magnitude, so ...
- 213k
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0
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70
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Use of $dv/ds$ in defining acceleration [duplicate]
We can write acceleration as either
$dv/dt$ or $v dv/ds$.
And surprisingly the work-energy theorem arrives from the second definition.
I feel it would be fundamentally understanding towards work ...
- 213k
2
votes
1
answer
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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, $a ∈ [-A, A]$...
CommunityBot
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0
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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 ...
- 28.8k
2
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1
answer
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Can something be at rest if it has a non-zero acceleration?
I think I have a decent grasp on the physics - I understand that something can be accelerating while stationary. That's the basis of my question. I just wanted to clarify some of the language used.
We ...
- 41k
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Acceleration-time graph to travel 1 meter in 1 second and eventually reach 0 velocity and 0 acceleration
How do I go about getting an equation of acceleration in terms of time such that an object travels $1$ meter in $1$ second, given that:
At $t = 0.5$, the acceleration is $0$ and the velocity is ...
- 3,303
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3
answers
99
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Explaining the equations of motion in kinematics [closed]
Hi I Have these equations and I don't know and understand what each of them means.
Can someone help me?
$$\tag 1 v=v_0+at$$
$$\tag 2 x=v_0t+\frac{at^{2}}{2}$$
$$\tag 3 v^{2}=v_0^{2}+2ax$$
What does ...
- 51.7k
1
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2
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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 ...
CommunityBot
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1
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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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2
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How to use a piecewise acceleration function to get a position function?
This should be a relatively easy problem but I think I am missing something somewhere. This problem consists of a object that is being thrown into the air at
$t = 4s$ at a velocity $v_0$
here is my ...
CommunityBot
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votes
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 ...
CommunityBot
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4
answers
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Why doesn't constant acceleration give me total displacement?
I started learning 1D kinematics and learnt definitions of constant velocity and constant acceleration. I thought that if a particle is changing its velocity uniformly then it has constant ...
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3
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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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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 ...
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1
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213
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Is there anything like negative deceleration?
I kinda understand acceleration, deceleration and negative acceleration but does anything like negative deceleration exist?
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2
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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 ...
CommunityBot
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2
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414
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Why does tangential acceleration become 0 when the velocity is max? [closed]
I know that tangential acceleration equal to zero when the circular motion is uniform, but why is it equal to zero, when the velocity is max or min? Because there is no relation between the value of ...
- 12.9k
1
vote
2
answers
32
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Please help find my error in comparing two acceleration equations
Please help me figure out where my mistake is when comparing two acceleration formulas and coming up with $4x^2 = x^2$. Thank you in advance.
The Kinematic Equations say:
$v^2 = v_0^2 + 2aΔx$
$Δx = ...
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votes
3
answers
103
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How acceleration affects velocity?
I understood that the acceleration changes the velocity and the velocity changes the position.
So I tried to calculate the position of a falling object, where $y_{acc} = 9.81$ and the initial values ...
- 60.5k
1
vote
1
answer
338
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How to calculate traveled distance with non-constant acceleration in time? [closed]
I know this formula $D = vt + \frac{1}{2}at^2$ for calculating the distance given initial velocity, time and acceleration. But what if my acceleration is not static, but increasing exponentially ...
CommunityBot
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4
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2
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623
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Is there a relationship between the magnitude of the velocity and acceleration vector?
Given a path, how do the magnitude of the velocity and acceleration vector along the path correlate? I am confused due to the fact that the acceleration is the change of velocity over time and in ...
CommunityBot
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0
votes
1
answer
53
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Is the answer given in the option wrong? [closed]
The question is
"An Object moves along a straight line. The graph illustrates how the acceleration of the object changes with time. The direction of the motion of the object changed only once, ...
- 213k
3
votes
2
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320
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Can we use relative motion if acceleration of two bodies are different?
Suppose, on the $x$-axis, a body $A$ is moving with velocity $v_1$ and acceleration $a_1$, and a second body $B$ is moving with velocity $v_2$ and acceleration $a_2$. $B$ is at a distance of $S$ from $...
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2
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How many $G$ of accelaration do we experience when we come to a flat surface from a slope?
I was recently riding a bicycle when I realised that when I went onto a flat road from a short but steep slope, I felt something weird in my body as if I was expereiencing some difference in the ...
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5
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Is there a scalar acceleration?
The magnitude of Velocity is simply Speed.
On the other hand, the magnitude of Displacement seems to be a simpler idea than Distance.
And the magnitude of Acceleration is not the change of Speed over ...
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2
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1k
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Terminology for time derivative of speed (not velocity)
Is there any standard terminology for the derivative of the magnitude of velocity with respect to time (suitable for use in first-year Calculus)? The word ‘acceleration’, in its technical sense, is ...
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3
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171
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Is retardation reported with opposite sign as that of acceleration?
Does retardation have opposite sign of acceleration? For example if acceleration of a car is 15m/s² than if we are asked to report retardation will we report it as -15m/s² or simply there is a ...
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1
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Components of velocity in projectile motion [closed]
I came across this question in my physics textbook (Gr12) and I was hoping someone could explain the solution to me
A ball is thrown horizontally off a building at $8.2\,\text{m}/\text{s}$. At a ...
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2
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53
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Does coordinate acceleration match proper acceleration when $v=0, s=0$?
Alice and Bob are riding in their rocket at arbitrary proper acceleration through an arbitrary region of spacetime.
Bob steps out of the space ship right next to Alice, such that at $t=t'=0$, $v=0$, ...
- 12.9k
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6
answers
4k
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What does a negative acceleration mean? Is the object slowing down, changing direction, or both?
I am confused about such things as negative velocity, acceleration, and displacement and what the negative indicates.
- 3,345
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5
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97
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Motion formula gives correct answer but without formula gives wrong answer [duplicate]
Assume a body with initial velocity= 10 ms final velocity= 20 ms and acceleration= 2 ms , so the time to reach final velocity will be 5 seconds. If we try to find distance it will travel in 5 seconds ...
0
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2
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49
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Equations of motion for constant acceleration
I read that the equations of motion for a constant acceleration can be represented in a scalar form as well as a vector form, but what's the need to do them in vector form what extra can we do by ...
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9
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Can 0 acceleration be termed as constant acceleration? [closed]
Today I started having a discussion about how acceleration should be considered constant if its numerical value is zero because '0' is also a numerical constant. There was a contradiction stating that ...
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2
answers
78
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Why can't we have accelaration in the form of meters per minutes*seconds?
I have been pondering over a concept regarding the general formula for acceleration, which is widely accepted as $\frac{m}{s^2}$. This formula elegantly illustrates that a given mass or body is ...
- 213k
0
votes
3
answers
707
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How does negative velocity and positive acceleration exactly and vice versa slow down objects?
I am confused. How does negative velocity and positive acceleration and vice versa slow down objects? Here are my thoughts. Please let me know if I am correct.
According to Newton's first law of ...
- 12.9k
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4
answers
213
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Why acceleration is not always parallel to velocity but velocity is always parallel to displacement? [closed]
Velocity is derivative of displacement :
$$\vec v=\frac{\mathrm {d\vec r}}{\mathrm dt}$$
And acceleration is derivative of velocity.
$$\vec a=\frac{\mathrm {d\vec v}}{\mathrm dt}$$
Given that their ...
- 213k
0
votes
1
answer
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In $a = dv/dt$, is $a$ the net acceleration? [closed]
While going through the calculus approach to accelerate, we have,
$$a = dv/dt, $$
I think, here, v and a should be in the same axis,
is my process correct?
in a planar motion in two dimensions, it ...
- 4,609
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1
answer
49
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Finding radial acceleration from $xy$ vector cordinate [closed]
I know that is a silly question but i cant figure it out.
Suppose we have
$$ \textbf{R} = A i + B j $$
and want to find the radial acceleration.
We know that the radial acceleration is
$$ \ddot{r} -...
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2
answers
895
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What's the formula for the speed of an accelerating car?
I am trying to find a formula that closely describes the speed of an accelerating car over time. I have found many graphs on the internet, but so far no formulae to generate them. For my purposes I ...
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2
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4k
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Center of gravity of vehicle and vehicle performance
I am interested to know how does CG of vehicle plays role in the Fuel economy and the vehicle performance. Does CG of vehicle has anything to do while accelerating of your vehicle. I am a student, ...
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3
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Why does a particle initially at rest at origin with acceleration as square of its $x$ coordinate ever move?
Consider a particle initially at rest at origin, with acceleration, $a$, such that $ a(x)=x^2$.
Since the particle is at origin, initial acceleration would be 0. It's also at rest initially. Its $x$-...
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2
votes
2
answers
193
views
How do kinematic equations work regardless of mass of the object?
I came across this question (very simple):
"A dog is running and starts to get faster at $2 ms^{-2}$ for $3s$. If the dog covers $20 m$ over this time, what velocity did it start with?"
...
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3
answers
96
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Why is it wrong to find centripetal acceleration using change of velocity over change of time?
This question asks to find the centripetal acceleration by giving the initial and final velocity over the change of time.
As shown, my book combined two rules to find the acceleration. I utterly ...
- 213k
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votes
1
answer
83
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What is the acceleration experienced by a person walking into a tree or pole?
Please go to this website and view videos of people walking into things. I would like to know what is the deceleration their head experiences from this.
I have done my research on this already. A ...
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1
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In a uniformly accelerated motion experiment, the acceleration can be attained from $V_{ave}$ vs. $t/2$ and $x$ vs. $t^2$ graph. How is this possible?
Specifically, in the experiment, we had to release a glider from an inclined plane (that had an angle of inclination of 10 degrees). We had to calculate the time it reaches the final position. We had ...
- 363k
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1
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From where does the expression of the tangential accerelation come from?
I've seen so many times that the expression of the tangential acceleration is known to be: $$a_t=\ddot{s}$$ but from the expression of the acceleration in spherical coordinates, in the tangential ...
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7
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Can an object *immediately* start moving at a high velocity?
What I mean is, suppose a ball is fired from a cannon. Suppose the ball is moving at 100 m/s in the first second. Would the ball have started from 1m/s to 2m/s and gradually arrived at 100m/s? And is ...
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1
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Interpretation of velocity-velocity and acceleration-acceleration curves
I am parametrizing equations of motion in the form:
$$x(t) = x_0+v_{0,x}t\\y(t) = y_0+v_{0,y}t+\frac{1}{2}at^2$$
The parametrized equation with respect to time:
$$y(x) = y_0+v_{0,y}\cdot \frac{x - x_0}...
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