All Questions
59 questions
0
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Acceleration varies inversely with 3rd power of displacement
Question. A particle is moving in a straight line. Displacement $x$ and time $t$ of the particle are related by the equation
$$x^2=at^2+2bt+c~;~\text{where }a,b,c\text{ are constants.}$$
Prove ...
0
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4
answers
6k
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Position vs time graph with constant acceleration
Wondering from the position vs time graph of an object moving with constant acceleration. How could you find the velocity? So the position vs time graph would be a parabola. I am thinking that the ...
- 25
11
votes
2
answers
3k
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Kinematic equation as infinite sum
I'm not sure exactly how to phrase this question, but here it goes:
$v=\dfrac{dx}{dt}$ therefore $x=x_0+vt$
UNLESS there's an acceleration, in which case
$a=\dfrac{dv}{dt}$ therefore $x=x_0+v_0t+\...
2
votes
0
answers
136
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Position, velocity, acceleration, jolt, and [duplicate]
I am familiar with the fact that $\displaystyle{\frac{dx}{dt}}=v$, $\displaystyle{\frac{dv}{dt} =a}$, and $\displaystyle{\frac{da}{dt}=J}$ where $J$ denotes the 'jolt', or jerk. Are further ...
- 190
2
votes
2
answers
345
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Determining Acceleration Based On Graph
I understand how to solve this problem, but I am unsure how to generate an equation for the graph (below). My current attempt involves using the mass provided along with the derivative of the line (...
- 123
0
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2
answers
5k
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How is the direction of the instantaneous acceleration determined?
I know from the text book that the direction of velocity at any point on the 2D path of an object is tangential to the path at that point and is in the direction of motion. But how would one determine ...
- 941
1
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4
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When we take time derivative of a function of time, then is the result another function of time, again?
(I'll try to explain my question by one known example), for example where the velocity is a function of time v(t) then its time derivative (which is acceleration: $a=\frac {dv}{dt}$) is another ...
- 21
2
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7
answers
44k
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Is acceleration $a = s/t^2$, or $a = 2s/t^2$, or something third?
I'm having trouble understanding some of the stuff regarding movement in my introductory physics class (I never thought I'd say that...)
Acceleration is defined as $ a = \frac{s}{t^2}.$
Distance can ...
10
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6
answers
3k
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Physical intuition for higher order derivatives
Could somebody give me an intuitive physical interpretation of higher order derivatives (from 2 and so on), that is not related to position - velocity - acceleration - jerk - etc?
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