Finding Time from Accel and Distance

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The discussion focuses on calculating the time required to travel 0.05 miles at a specified acceleration, starting from an initial speed. The user has determined an average acceleration of 8.57 mph/s and is attempting to find the time and final speed using kinematic equations. They are exploring whether the acceleration is constant, which would allow for the use of the equation (V_f)^2=(V_i)^2+2a(d_f) to solve for time. The user has made initial calculations for different time intervals but seeks confirmation and further guidance on the approach. The conversation emphasizes the importance of understanding kinematic principles in solving motion problems.
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Not school related, but I guess it could be a homework problem.
I am redoing my racing script on my car game and need some help. I have been looking around in many places and can't seem to find how to do this problem.

Homework Statement


I need to find the time it takes to travel 0.05 miles at a given acceleration starting at a given speed. I also need to find out the final speed.

So if a car starts from a stop (0 mph) and can travel 0-60mph in 7 seconds. How long will it take to travel 0.05 miles and what will its final speed be.

Homework Equations


time = change/acceleration
d=st

The Attempt at a Solution


So far I have its average acceleration at 8.57 mph/s if I can find the time I will be able to find its final speed. If its 1 second it will be 8.75 mph, 2 seconds will be 35mph. (Not to sure on that) But I did (2 seconds^2) * 8.75
 
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Is it going to be a constant acceleration? If it is you can use

(V_f)^2=(V_i)^2+2a(d_f)

Where V_f = Final Velocity, V_i = Initial Velocity, d_f = the final displacement.

From there you can find the time it takes in a multitude of ways.
 
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