Solve Your Speeding Dilemma: Calculating Braking Time and Distance

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To solve the speeding dilemma, the braking acceleration is 14 ft/s², and the initial speed is 82 mi/hr, which needs to be reduced to 55 mi/hr. The key is to apply the equations of motion to find the time required to decelerate to the legal speed limit. Participants emphasize the importance of showing work to receive guidance, rather than just asking for answers. The discussion encourages using standard physics equations to calculate both the time and distance traveled while braking. Engaging with the problem step-by-step is crucial for understanding the solution.
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The brakes on your automobile are capable of creating
acceleration of 14 ft/s2. If you are going 82 mi/hr and sud-
denly see a state trooper, what is the minimum time required to get your car to 55 mi/hr?

How far do you travel while returning to the legal speed limit?
 
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You'll have to post where you're stuck at so we can provide the right direction. Just giving the answer won't help you in the long run.
 
i don't know how to start the problem.
 
You've been given acceleration, final velocity, and initial velocity, and are looking for time, right? Take a look at your equations of motion.
 

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