Two drivers, Alison and Kevin, are in a drag race. Beginning from a standing start, they each proceed with a constant acceleration.
Alison covers the last 1/4 of the distance in 3 seconds, whereas Kevin covers the last 1/3 of the distance in 4 seconds.
Who wins and by how much time?
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I'm tempted to start off by describing each model as
dv/dt = k , where v is velocity, t is time, and k is the prop constant.
Don't know how to include the other bits of info...