Sports Car vs Speedster: Who Wins?

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A sports car with an acceleration of 5.7 m/s² competes against a speedster accelerating at 4.53 m/s², with the speedster receiving a 1.41-second head start. To determine when the sports car overtakes the speedster, one must calculate the distance each vehicle travels over time, factoring in the head start. The sports car will eventually catch up due to its higher acceleration rate. The discussion focuses on applying physics principles to solve the problem of overtaking time. Understanding these calculations is essential for comparing performance in drag racing scenarios.
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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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