In designing a freeway on-ramp, you must make it long enoughfor cars to be able

Question

In designing a freeway on-ramp, you must make it long enoughfor cars to be able to accelerate and merge safely with traffic traveling at speeds of 70 mph. For an off-ramp, the cars must be able to come to a stop from 70 mph over the length of the ramp.Your traffic engineers provide the following data: powerful cars can accelerate from rest to 60mph in 5 seconds, while less powerful cars take twice as long to do this. When slowing down from 60mph, a car with good tire treads will take 12.0 s to stop, whereas one with bald tires takes 20 seconds.

a) In order to safely accomodate all types of vehicles, whatshould be the minimum length (in meters) of on-ramps?

b) In order to safely accomodate all types of vehicles, whatshould be the minimum length (in meters) of off-ramps?

I am getting 360m for on-ramps and 1800m for off ramps, but I am not sure if this is correct?
If you could show me how you got to the correct answer, that would be wonderful:)
Thanks! (Also, I know that there is another question like this one, but that solution does not make sense to me...)

Explanation / Answer

a) Since less powerful cars will require longer distance, teh distance would be based on them:

s = ut + 0.5 x a x t2

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