V0 = 0 m/s Vf = ?? m/s A = ?? m/s2 Solve Acceleration Problem: 1600m in 5min

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A runner aims to complete a 1600m race in 5 minutes, accelerating for the first 15 seconds before maintaining a constant speed for 4 minutes. After this period, she has 250m left to cover. To determine the necessary acceleration for the remaining distance, it's crucial to calculate her velocity at the end of the constant speed phase and the time available to finish the race. By applying kinematic equations, the required acceleration can be derived based on these variables. Solving this problem involves integrating the runner's initial conditions and remaining distance into the equations of motion.
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Homework Statement


A runner wishes to complete a 1600m races in 5.0 min. She accelerates to racing velocity in the first 15s of the race then travels at a constant velocity for the next 4.0min. At this point she still has 250m to go. What must her acceleration be over the remaining distance in order for her to finish the race next time?


Homework Equations


The 5 BIG Kinematic Equations


The Attempt at a Solution


Δdτ = 1600m
ΔT = 300 seconds
 
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Ok, you're going to have to make more of an attempt than that- you just listed the given information! Try to get some more relevant information, like: What remaining distance is left for the runner when she has to start accelerating? What's her velocity at that point? How much time does she have to cover that extra distance? If you consider these variables and how they fit into the kinematics equations, you should be able to figure it out.
 
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