## physics help - finding what slope means

Suppose a student is given position-time data for a cart which was known to have an initial velocity of zero. if the student plots the fifth root of time (t^1/5) on the y axis, what variable should he plot on the x axis so that the resulting graph is a straight line? how is the slope of the line related to the acceleration of the cart?
$$d = \frac{1}{2}at^2$$
$$d^\frac{1}{10} = (\frac{1}{2}a)^\frac{1}{10} t^\frac{1}{5}$$

this is what i've done so far.... can anyone give me some hints as to what to do next?

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Homework Help
* Get $t^{1/5}$ by itself.
This can be done by comparing your equation to the equation $y=mx$ after you solve for $t^{1/5}$.