# Questions tagged [acceleration]

The rate of change of velocity of a body per unit of time.

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### How can I derive the acceleration from 2 coordinates?

I am trying to derive the acceleration between 2 points. For example if I had (90.39, 44.99), (90.4, 44.97) and the time span was 0.1s. I get how to calculate the speed but how could I calculate the ...
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### Normal acceleration in a particular curve

A friend of mine sent me the following problem: A small ball is rolling down a curve of equation $f(x)=1-0.5 \sqrt{(4-x^2)}$ . At the point A ($x=1.5$ m) the ball has a velocity of $12$ m/s, which ...
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### Is centripetal acceleration independent of linear acceleration in accelerated circular motion?

Can we say that there is a relationship between them, or are they independent of each other? why? Like does $a_c=v^2/r$ imply $a_c$ and $a_{tangential}$ are related? I am very confused by this ...
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### Can the relativistic transformation for acceleration be applied to time-varying as well as constant accelerations measured by inertial observers?

I know that, traditionally, acceleration transformations are used for when accelerations are constant from the viewpoint of inertial observers. For example, if a rocket, away from any gravitational ...
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### Derivation for magnitude of acceleration of a body in orbit with general relativity coefficient?

I came across an equation that an old professor used in an orbital simulation code and wanted to know how this equation was derived? I also wanted to know where $\alpha$ came from and what it ...
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### Dynamically changing acceleration of object moving towards sun due to gravity

For a collection of sci-fi short stories set in the rather near future I need an approximation of the time it would take a space ship to travel from an Earth orbit to Ceres. In a previous story of ...
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### Friedmann Expansion

I have a strange question that I can visualize but not find anything to really answer my query. The Newtonian law states that something in motion tends to remain in motion. We all know about ...
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### Does Horizontal Velocity remain constant when it hits a surface in a Parabolic Motion?

It is told in one of the answers that the horizontal velocity stays at 4.0 m/s after the ball bounces from the plate. Why is it still at 4.0m/s, isn't there friction or is it neglected for the sake ...
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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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### 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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### Is it true that when you accelerate due to a non-gravitational interaction gravity is pulling you in the direction opposite to the acceleration?

We don't feel acceleration when we are only in a gravitational field due to equivalence principle as I understand it says gravity is simply inertia in spacetime. Is there any other type of force ...
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### Does the Jerk (derivative of acceleration) play a significant role in relativity?

In particular, I'm thinking of spaghettification that occurs as an object falls into a black hole (as an extreme example). But what about tidal forces like the tidal heating taking place on Jovian ...
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### Acceleration of The Centre of Mass of A Rod

The acceleration a of the center of mass of a system is equal to F/M, where F is the net external force and M is the total mass of all the particles of the system, or at least that is my current ...
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### Does the rope stretch when the pulley of Atwood's machine is accelerated?

Let's say I've an Atwood's machine in which I have two point masses which are different. Now, when I accelerate the pulley, the two masses accelerate at a different rate which can be shown by ...
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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 ...
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### Real force analogue names for the coriolis and azimuthal fictitious forces

Consider the following equation (10.10) in Morin's book on classical mechanics, it is meant to provide a correct prediction of the measured acceleration of a particle for someone taking measurements ...
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### Time dilation of accelerating object vs caught by gravity well

Suppose an object got caught by the immerse gravitational force but at the same time it has zero net force acting on it like suspending above the surface of a planet, not siting on the surface where ...
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### Does buoyant force become less effective as acceleration increases?

Lets say a balloon with a certain amount of buoyant lift has a 2 kg mass strapped to it (including engines) and accelerates enough that it perceives a positive 2.5 g inertial force (2.5g * weight) ...
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### Completely inelastic collisions & center-of-mass acceleration

The system can be isolated, or non-isolated, and comprises of, say, two carts. If these two carts undergo a completely inelastic collision, will they then accelerate together at the center of mass ...
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### How to determine linear acceleration using an accelerometer?

I have a implemented an accelerometer, a gyro and a Magnetometer in Raspberry Pi. I want measure the linear acceleration (acceleration without gravity) but I don't know how to do it or if it is ...
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. ...