If she hits the brakes, how far will she travel before stopping?

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To determine how far the car will travel before stopping, the relevant kinematic equation is d = v_i * t + 0.5 * a * t^2, where d is the distance, v_i is the initial velocity, a is the acceleration (deceleration in this case), and t is the time. Given the car's initial speed of 56 km/h (converted to meters per second), maximum deceleration of -5.6 m/s², and the time until the light turns red, the formula can be applied to calculate the stopping distance. The discussion emphasizes the need for a clear understanding of kinematic equations to solve the problem effectively. The final distance traveled before stopping can be calculated using these principles.
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Homework Statement


A person driving her car at 56 km/h approaches an intersection just as the traffic light turns yellow. She knows that the yellow light lasts only 2.0 s before turning to red, and she is 30 m away from the near side of the intersection (Fig. 2-29). Should she try to stop, or should she make a run for it? The intersection is 15 m wide. Her car's maximum deceleration is -5.6 m/s2, whereas it can accelerate from 56 km/h to 70 km/h in 4.2 s. Ignore the length of her car and her reaction time. If she hits the brakes, how far will she travel before stopping?


Homework Equations


can someone at least give me a formula that i can use to find the answer??
thankss
 
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Refer any textbook and list the kinematic equations.
 
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