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3 votes
2 answers
160 views

Acceleration in terms of displacement

I am having problems understanding the derivation of acceleration in terms of displacement. The first step is fine: $$a(x) = \frac{\mathrm dv(x)}{\mathrm dt} = \frac{\mathrm dv(x)}{\mathrm dx} \frac{\...
Hugo Lundin's user avatar
1 vote
3 answers
307 views

What does the derivative of unit vector of velocity with respect to time represent?

let an object move with a constant accelration a. in my book,the following derivatve is said to be non-constant(variable). $$\frac{d[\frac{v}{|v|}]}{dt}$$ what does this mean? as far as i can think,it ...
Karan's user avatar
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0 answers
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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 ...
Rita Garain's user avatar
0 votes
1 answer
43 views

Are terms tangential acceleration and normal acceleration only used for instantaneous velocity?

Are terms tangential acceleration and normal acceleration only used for instantaneous velocity?
Naman Singh's user avatar
0 votes
1 answer
742 views

What are the relationships between the motion-time graphs?

I was wondering if someone could explain the relationships between the three motion graphs (Position-Time, Velocity-Time, and Acceleration-Time). I believe that the slope of the P-T is Velocity and ...
Enrageder's user avatar
-1 votes
2 answers
89 views

For how long is an objects velocity it's instantaneous velocity at time $t$?

Basically I'm asking if an object's instantaneous velocity at time $t$ is $8m/s$ and its instantaneous velocity at time $t^+$ (idk latex, but basically the t + an infinitely small number) is $10m/s$, ...
Serendipitous Epiphany's user avatar