What is Acceleration: Definition and 1000 Discussions

In mechanics, acceleration is the rate of change of the velocity of an object with respect to time.
Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the orientation of the net force acting on that object. The magnitude of an object's acceleration, as described by Newton's Second Law, is the combined effect of two causes:

the net balance of all external forces acting onto that object — magnitude is directly proportional to this net resulting force;
that object's mass, depending on the materials out of which it is made — magnitude is inversely proportional to the object's mass.The SI unit for acceleration is metre per second squared (m⋅s−2,






m

s

2







{\displaystyle {\tfrac {\operatorname {m} }{\operatorname {s} ^{2}}}}
).
For example, when a vehicle starts from a standstill (zero velocity, in an inertial frame of reference) and travels in a straight line at increasing speeds, it is accelerating in the direction of travel. If the vehicle turns, an acceleration occurs toward the new direction and changes its motion vector. The acceleration of the vehicle in its current direction of motion is called a linear (or tangential during circular motions) acceleration, the reaction to which the passengers on board experience as a force pushing them back into their seats. When changing direction, the effecting acceleration is called radial (or orthogonal during circular motions) acceleration, the reaction to which the passengers experience as a centrifugal force. If the speed of the vehicle decreases, this is an acceleration in the opposite direction and mathematically a negative, sometimes called deceleration, and passengers experience the reaction to deceleration as an inertial force pushing them forward. Such negative accelerations are often achieved by retrorocket burning in spacecraft. Both acceleration and deceleration are treated the same, they are both changes in velocity. Each of these accelerations (tangential, radial, deceleration) is felt by passengers until their relative (differential) velocity are neutralized in reference to the vehicle.

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  1. Iwanttolearnphysics

    Propagating Uncertainties in acceleration when using a video software

    Here's why I'm confused: I recorded a video of a ball moving across the floor and uploaded it to the video analysis software I used. I had to track the moving ball while it moved and I did this while the video was playing in slow motion through the video analysis software. put a dot in the...
  2. grotiare

    Engineering Calculating Angular Acceleration for Link BD and ED: Verifying Solution

    Dynamics Rigid body Kinematics problem, looking for angular acceleration of link BD and ED. AB has constant angular velocity of 45 rad/s CCW. Could y'all verify any mistakes in my solution? Thanks!
  3. S

    I Time Dilation at Moving Black Hole Event Horizon

    Hello everyone, I have a hard time to conceptualize the case of a moving black hole. We know from SR that time slows down for moving objects; but time dilation at the event horizon is already equal (tends) to zero. It seems that it can create some sort of conflict for the black hole movement...
  4. L

    Rate of change of acceleration

    A particle traveled in a straight line in such a way that its distance (S) from a given point on that line after time (t) was S= 20t^3 -t^4 The rate of change of acceleration at time t=2 is what value?ok, I am kind of stuck on this very simple problem. It should be as simple as taking the...
  5. U

    The angular acceleration and period of a pulsar

    for (a) ##T=\frac {2\pi}{\omega}## $$\omega=\frac {2\pi}{T}$$ $$\frac{d \omega}{dt}=\frac {-2\pi}{T^2} \frac {dT}{dt} $$ $$\alpha=\frac {-2\pi}{(2.94*10^-15)^2} = 7.27*10^29 rad/s^2$$ for (b) I'm understand that it's infinity, because the period is increasing indefinitely, so it's slowing...
  6. Fuergrissa

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  7. J

    Solving for Distance, Velocity and Acceleration

    Distance: substitute t=5 into x=3e^(0.4t) 22.17m Velocity: v=dx/dt =1.2e^0.4t____(1) Sub t=5 back into (1) v= 8.867m/s Acceleration: a=dV/dt =0.48e^0.4t____(2) sub t=5 back into (2) a= 3.547 m2/s I am not sure if i am doing this right on dx/dt and dv/dt
  8. C

    I How can I calculate the time for non-uniform acceleration in a circular path?

    Hello everyone, I would really appreciate some help with a challenge I am facing. The challenge is to accelerate a particle in a circular path, but the acceleration must be non-uniform. In other words, the velocity does not increase linearly. The problem I am facing is shown below: The...
  9. kara123

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    assuming initial velocity is 0 and we have the value for acceleration I'm unsure how to still use any of those equations because you must have a time value at least or a final velocity
  10. I

    Calculate gravitational acceleration without mass of both objects

    I haven't gotten anywhere. I don't find it possible to calculate this since Fg varies based on the Mass of the meteroide and because of that it will change acceleration. I thought about trying to remove m1 by making F=m*a the same as 𝜸(m1*m2)/r^2 since I think they are the same force. m*a=...
  11. J

    I Car acceleration if resistance forces don't exist

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  12. R

    A Hubble Tension and Cosmic Acceleration: A measurement artifact?

    By analyzing 91,742 reported extra-galactic distances and their one sigma uncertainties for 14,560 galaxies, it was found that pairs of reported extra-galactic distances of the same galaxy differ from each other by 2.07 the reported uncertainties on average. In my opinion, this indicates that...
  13. E

    Question about the average acceleration

    Hello everyone, I have to find the average acceleration in the intervals 0m - 30m, 30m - 60m, and 60m - 90m. Here is the table: Position (m) 0 10 20 30 40 50 60 70 80 90 100 Time (s) 0 1,89 2,88 3,78 4,64 5,47 6,29 7,10 7,92 8,75 9,58 My teacher has given us the answers, but we have to...
  14. S

    Engineering Calculating angular acceleration

    I calculate the gravity force F = mg = (-9806.6)*(5.26e-1) = -5158 (mm^2*kg)/s^2 I get the moment M = F*r = (-3.5e5)*(-6.81e1) = 3.5e5 (mm^2 * kg) / s^2 Where r is the y coordinate distance from origin to centroid J = (Ix'...
  15. F

    I Kinematics cases with non-constant acceleration

    Hello, I understand that, for 1D kinematic problems where the acceleration function ##a_x## is initially given along with the initial conditions, we can use calculus (differentiation and integration) to get the position ##x(t)## and velocity ##v_x (t)## of the moving object. When the...
  16. S

    Finding acceleration of block with block on top, connected by rope

    I have already concluded that the way to solve this problem is through (20 N - (3 kg * 9.8 m/s^2 * 0.16) - (2*(1 kg * 9.8 m/s^2 * 0.16))) / 3 kg I have several questions: Why do we multiply the second set of parentheses by 2? Why do we count the friction between the 1 kg box and the 2 kg box...
  17. Monsterboy

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    The correct option is given as (d) I think I am able to visualize the problem but not able to put it in the equations shared above. If the the two frames are moving away from the particle at ##4 m/s^2## in opposite directions we get the acceleration between the frames as ##8 m/s^2##...
  18. Monsterboy

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    For a particle moving in a straight line, if the velocity is zero for a time interval, the acceleration is zero at any instant within the time interval. I am told the above statement is true. If I look at the equations v = dx/dt a = dv/dt It looks like if the velocity is zero for a time...
  19. mncyapntsi

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    Hello, I am attempting to correctly solve this problem, however I end up with an equation that is slightly different as the one provided in the textbook solution. For question (a) I get the same thing, just instead of cos, I have cos^2 and I can't figure out where I went wrong. My process was...
  20. C

    I Acceleration through curved paths

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  21. mattlfang

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  22. Martyn59

    B Finding Gravitational Acceleration

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  23. Jynku

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    Shouldn't free fall acceleration be constant at -9.8m/s^2 until the object hits the ground and turns zero?
  24. J

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  25. Huzaifa

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    $$\begin{aligned}v=u+at\\ \Rightarrow v=gt\\ \Rightarrow g=\dfrac{v}{t} \cdots (1)\end{aligned}$$ $$\begin{aligned}s=ut+\dfrac{1}{2}at^{2}\\ \Rightarrow s=\dfrac{1}{2}gt^{2}\\ \Rightarrow g=\dfrac{2s}{t^{2}}\cdots (2)\end{aligned}$$ $$\begin{aligned}s=vt-\dfrac{1}{2}at^{2}\\ \Rightarrow...
  26. R0dr1go

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  27. LCSphysicist

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  28. D

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  29. J

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  30. mncyapntsi

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  31. C

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    Was wondering if acceleration seems to be a more fundamental property/quantity in the universe as compared to velocity or distance because acceleration can be defined in more absolute terms in a frame depending on the forces acting inside that reference frame. Considering a very simple example...
  32. L

    I Relativistic Force & Velocity Relation to Acceleration

    According to this link here https://en.wikipedia.org/wiki/Relativistic_mechanics#Force , we can inverse the relation of force in terms of velocity and acceleration: $$ \mathbf{F} = \frac{m\gamma^3}{c^2}(\mathbf{v} \cdot \mathbf{a})\mathbf{v} + m\gamma\mathbf{a} $$ to get: $$ \mathbf{a} =...
  33. elcaro

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  34. Amaterasu21

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  35. Mr.Husky

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    Image above is the question. Below image depicts solution. if F1 is removed then the acceleration of that mass must be sum of accelerations of remaining forces. Right?? But answer says that acceleration of that mass is equal to acceleration of F1. I don't understand it. Can someone explain it??
  36. M

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  37. O

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    I would like to estimate the maximum acceleration (or deceleration) of an alpha particle that is backscattered by a heavy atom, like in Rutherford backscattering. I am interested in the order of magnitude, not in a precise value. I am assuming the collision is elastic. The kinetic energy of the...
  38. MichPod

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  39. Huzaifa

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  40. Sagittarius A-Star

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    [Moderator's note: Spin-off posts from previous thread have been included in this new thread. Also, the OP's re-post of the scenario for discussion has been moved to this top post for clarity.] Yes. Physically, scales measure a force (and indirectly the energy) in their frame. Consider the...
  41. WMDhamnekar

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  42. WMDhamnekar

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  43. WMDhamnekar

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  44. Huzaifa

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  45. D

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    I am just confused on how to find the normal force/ FN of the first object. My classmates are saying Fgy is the exact same as Fn but I don’t get why Fgy= Fg sin theta Fgy= (20)(9.81) (sin35) Fgy= 112.5 Fgy = FN
  46. rxhim631

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    Distance= (Intial Velocity + Final Velocity / 2) Time 0.75 = (0+75 / 2) Time 0.75 = (37.5) Time 0.02 seconds = Time Acceleration = (Final Velocity + Intial Velocity) / Time Acceleration = (75 - 0) / 0.02 Acceleration = 3750 m/s2 Idk if this is correct can someone help pls.
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