All Questions
Tagged with kinematics acceleration
704 questions
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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 ...
9
votes
4
answers
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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 ...
-2
votes
0
answers
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 ...
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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0
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1
answer
42
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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 ...
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2
votes
1
answer
100
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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 ...
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3
answers
98
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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 ...
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1
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2
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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
102
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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 ...
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0
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1
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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, ...
0
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2
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69
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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 ...
-1
votes
1
answer
44
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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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1
vote
3
answers
170
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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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2
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2
answers
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 $t=t'=0$, $v=0$, ...
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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 ...
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0
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2
answers
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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4
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2k
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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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2
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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 ...
0
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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 ...
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0
votes
1
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89
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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 ...
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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
votes
2
answers
192
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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votes
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 ...
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1
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3
answers
252
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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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1
answer
185
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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 ...
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1
answer
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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}$$ but from the expression of the acceleration in spherical coordinates, in the tangential ...
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1
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66
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Interpretation of velocity-velocity and acceleration-acceleration curves
I am parametrizing equations of motion in the form:
$$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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1
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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 ...
1
vote
1
answer
185
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Position-time graph of two cars is given [closed]
So this was a test question, I answered that both cars have the same acceleration. Since the graphs for A and B both are straight lines, therefore, the acceleration of both must be zero. But the ...
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3
answers
406
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Is Retardation and Deceleration the same thing? [closed]
Does, Deceleration always have to be Retardation? Or, can there be Deceleration without Retardation.
2
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0
answers
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 $\mathcal{V}_{b}=\left(\boldsymbol \omega_{b}, \boldsymbol v_{...
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1
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${}$ Projectile motion
Basically we take the value of acceleration due to gravity as -ve ($-g$),when an object is thrown in the opposite direction of $g$. But in projectile motion the object first opposed the g and travels ...
user379270
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2
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122
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Why does $\vec{a}=\vec{\omega}\times \vec{r}$ as well as the velocity does?
Today I came in class and in one of the problems the teacher used $\vec{a}=\vec{\omega}\times \vec{r}$ which made me very confused because I don't know where it comes from, it seems pulled out of thin ...
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2
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647
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Hyperbolic motion in Rindler coordinates never crossing the origin
When we have a constant proper acceleration with $a_{\mu}a^{\mu} = g^2$ in the $x^1$ direction of some inertial frame, then
$$t = g^{-1}\sinh(g\tau),$$
$$x = g^{-1}\cosh(g\tau)$$
and the world line ...
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votes
1
answer
89
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Can we relate newton's second law and kinematics equations? [closed]
Specifically,
If vi = 0, then
a = vf^2 / 2s [ s = distance travelled]
And from newton's 2nd law,
a = Fnet / m [ m = mass of object]
But I've tried to them on a bunch of different problems, and they'...
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1
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48
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In circular motion is acceleration vector and $\frac{dv}{dt}$ the same?
I was studying a book in which they have written this
$$ a = -w^{2} r \hat{e} + \frac{dv
}{dt} \ddot{e} \tag{1} \label{1}$$
Where $a$ is acceleration vector $\hat{e}$ is unit radial vector and $\ddot{...
4
votes
2
answers
623
views
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 ...
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1
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2
answers
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 ...
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votes
9
answers
8k
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If you're accelerating and you drop a ball, why does the ball keep your velocity, but not your acceleration?
There was a question in my physics text book which says, "A boy is running with velocity $5m/s$ and acceleration $2m/s^2$ north, and drops a ball while running at the height of 5m from ground. ...
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0
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53
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How can I optimally rotate accelerometer readings so that the integrated velocity ends up correct? [closed]
I attached an accelerometer (with gyro/magnometer) to a curling rock and threw it down the sheet of ice. The accelerometer was not flat, and it did not travel significantly in the $z$ direction. I ...
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2
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1
answer
72
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(Circular motion) Acceleration is given, so why asked for more? [closed]
The full question is below.
A car starts from rest and moves around a circular track of radius $32.0\,\text m$. Its speed increases at the constant rate of $0.500\,\text{m/s}^2$.
(a) What is the ...
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0
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45
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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$$dv$/$dx$ formula as follows
Assume a particle at time $t$ is at $x$ position having $v$ velocity
...
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votes
5
answers
197
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What happens physically when object is thrown up when $v$ becomes 0 at max height?
When velocity=0 during maximum height when an object is thrown up, what does that actually mean?? does that actually mean that the object doesn't change it's position over dt time period when at ...
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0
votes
2
answers
414
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Why does tangential acceleration become 0 when the velocity is max? [closed]
I know that tangential acceleration equal to zero when the circular motion is uniform, but why is it equal to zero, when the velocity is max or min? Because there is no relation between the value of ...
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votes
1
answer
94
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Velocity and acceleration of a ball shot uphill [closed]
Consider a ramp of length $100$ m and with a height of $10$ m. At the base of that ramp we're shooting a ball of mass $12$ kg uphill. Let's say the ball has a speed of $1$ m/s at $1$ m uphill. How can ...
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votes
1
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101
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What is $V$ in $a$=$V$$dv$/$dx$? [duplicate]
$a$=instantaneous acceleration
$V$=instantaneous velocity
$x$=position
$dx$=small Chang in position
$a$=$dv$/$dt$
multiplying numerator and denominator by $dx$,we get
$a$=$dv$.$dx$/$dx$.$dt$
now we ...
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1
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0
answers
114
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What is the link between normal acceleration and radius of curvature? [closed]
hope you are well,
So , in my physics class we use graphical method to determine the radius of curvature and as we know this method isn't very accurate, so when I watch a YouTube video I find this ...
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0
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1
answer
183
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If centripetal acceleration is pointed radially inward and it has a value $Ac = v^2/r$ is there not a value for centripetal velocity?
In uniform circular motion, an object is said to move tangentially along a circular path with a changing tangential velocity but a constant tangential speed. The velocity changes because the direction ...
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2
votes
4
answers
166
views
How can I factor friction into acceleration, given power?
I'm trying to work out an acceleration curve for a vehicle for a simulation, but despite a bunch of research there are a couple of things I still don't understand.
First we have $P = mav$. Assuming ...
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0
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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?
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