Sports Car vs Speedster: Who Wins?

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SUMMARY

The discussion centers on a drag race between a sports car with an acceleration of 5.7 m/s² and a speedster with an acceleration of 4.53 m/s², where the speedster receives a 1.41-second head start. To determine the time it takes for the sports car to overtake the speedster, one must set up equations of motion for both vehicles and solve for the point at which their distances are equal. The calculations involve using kinematic equations to account for the head start and differing accelerations.

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A sports car that can accelerate at the rate pf 5.7 m/s^2 drag races agains a speedster that can accelerate at the rate of 4.53 m/s^2. the speedster gets a 1.41second head start.

Sports car acceleration:5.7 m/s^2

speedsters acceleration:4.53 m/s^2

how do i find the time it takes for the sports car to overtake the speedster?
 
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