Who Will Reach the 200 Meter Line First: The Runner or the Bicyclist?

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The discussion centers on a physics problem comparing the time it takes for a runner, accelerating at 1.2 m/s², to reach a distance of 200 meters against a bicyclist traveling at a constant speed of 10 m/s. The runner's position is calculated using the formula x = x₀ + v₀t + (1/2)at². By solving the equations for both the runner and the bicyclist, it is determined that the runner will reach the 200-meter line first, despite initial confusion regarding the incorporation of units in the calculations.

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A runner starts from zero with a constant acceleration of 1.2 m/sec2. At the same time and same starting point, there is a bicyclist moving at uniform speed of 10 m/s. Who will reach the 200 meter line first?


I know this is probably a pretty simple question for most of you but the unit squared is throwing me off. I figured to use the formula R=DT. This seems obvious but there again I just can't seem to incorporate the units squared into the grand scheme of things. Any help and maybe and an explanation would be greatly appreciated.
 
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For constant acceleration:
[tex]x=x_0+v_0t+\frac{1}{2}at^2[/tex]
 

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