Finding Time from Accel and Distance

[BlueBob88]

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

 

[Feldoh]

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.