All Questions
12
questions
1
vote
3
answers
207
views
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 $x$-...
- 337
0
votes
2
answers
507
views
How do I get the velocity $v$ as a function of position $x$ from the acceleration $a$ as a function of velocity?
Suppose that a particle is moving with a non-constant acceleration on the $x$ axis of $$a(v)= Av^2+Bv+C$$ ($A$, $B$ and $C$ are constants) with an initial velocity of 0 on the x axis and an initial ...
2
votes
1
answer
200
views
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 ...
- 21
0
votes
1
answer
62
views
How to determine terminal velocity with speed reduction percentage and constant acceleration?
So I'm developing this game with physics.
Every frame, the body accelerates at $+4\,\mathrm{m/s^2}$.
However, every frame, the body also sets its velocity to 90% of its original value, basically the ...
- 133
1
vote
2
answers
147
views
Determining how long it takes an object to reach a certain speed [closed]
Robotics related. On a linear servo driven rail one can typically set acceleration and maximum move speed. I am trying to determine the amount of seconds it takes the load to accelerate to a certain ...
- 141
1
vote
3
answers
62
views
Motion in a plane situation
There is something weird I find about the following situation. Suppose a particle has the $X$-coordinate $= 2+2t+4t²$ and $Y$-coordinate $= 4t+8t²$. So it's velocity in $X$ is $2+8t$ and velocity in $...
- 45
0
votes
3
answers
165
views
Power and work contradiction
A body is starting from rest. A force is acting on it for a short period of time. In that given time, power delivered to it at any instance $t$ is given
$$P = F \cdot v_1 = ma \cdot v_1 = mv_1^2/t,$$
...
2
votes
1
answer
518
views
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
0
votes
0
answers
223
views
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
3
votes
3
answers
357
views
Calculating displacement from acceleration (intuitively) [closed]
If I say acceleration of car is constant at $4\; \rm m/s^2$.
Then isn’t it that it covers $4\; \rm m$ in $1\; \rm s$ with velocity $4\; \rm m/s$.
Then in $2\; \rm s$, the velocity is $8\; \rm m/s$. ...
- 725
0
votes
1
answer
854
views
Convert Acceleration-Time Graph to Velocity Time Graph [closed]
I have a set of 40 readings that make up 2 seconds of simple harmonic motion of an extension spring and I would like to use these readings to come up with a graph and if possible a function that ...
- 13
0
votes
1
answer
276
views
Trying to prove that the expression for the radial component of the acceleration is equal to $\mathbf v\cdot \mathbf v/r$
I am trying to prove that the normal component of acceleration of a particle undergoing a curvilinear motion is equal to
$\mathbf v\cdot \mathbf v/r$.
Here $\mathbf v$ is the velocity of the particle ...
- 529