MHB Difference between a(t), a(v) and a(x)

[Joel Jacon]

What is the difference between $a(t)$, $a(v)$ and $a(x)$? If $a(t) = \d{v}{dt}$ then what will $a(v)$ and $a(x)$ equal to?

$a(t)$ is acceleration with change in time

$a(v)$ is acceleration with change in velocity

$a(x)$ is acceleration with change in position

 

[I like Serena]

What is the difference between $a(t)$, $a(v)$ and $a(x)$? If $a(t) = \d{v}{dt}$ then what will $a(v)$ and $a(x)$ equal to?

$a(t)$ is acceleration with change in time

$a(v)$ is acceleration with change in velocity

$a(x)$ is acceleration with change in position

Hi pcforgeek! ;)

I believe you already have the difference.We can indeed say that $a(t) = \d{v}{t}$, but generally $a(x) \ne \d{v}{x}$ and $a(v) \ne \d{v}{v}$.

The best I can say about $a(v)$ is that $a(v) = a(t(v))$ , where $t(v)$ is the function that says at which time we have speed $v$.
Similarly $a(x) = a(t(x))$.