The slope of a ( d ) versus ( t^2 ) graph represents the acceleration of an object when plotting distance (d) against the square of time (t²). In the context of uniformly accelerated motion, this slope indicates half the acceleration (a/2), as the relationship between distance and time squared is given by the equation ( d = \frac{1}{2} a t^2 ). Thus, the slope can be calculated as ( \text{slope} = \frac{d}{t^2} ) and is equal to ( \frac{a}{2} ).
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