The relation between position $( x )$ and time ( $t$ ) are given below for a particle moving along a straight line. Which of the following equation represents uniformly accelerated motion? [where $\alpha$ and $\beta$ are positive constants]
- A$\beta x=\alpha t+\alpha \beta$
- B$\alpha x=\beta+t$
- C$x t=\alpha \beta$
- D$\alpha t=\sqrt{\beta+x}$
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