This is one I've thought about for a bit, but having no great background in physics/math post high school I wasn't 100%... Would a car travelling at say, 110km/hr over a car travelling at 100km/hr at the same rate as one overtaking a car doing 60km/hr at 70km/hr itself?
So pretty much does the same gap in speed equal the same rate over overtaking?
Yes, same gap in terms of time. However, because the 100/110km/h cars are moving much faster they will travel further in the same time, so you will need more space to overtake in.
Im going to go with NO!!!
At 100km/h a car is travelling at 27.77777 m/s car A
At 110km/h a car is travelling at 30.5555 m/s car B
So lets say the cars are 20 Metres apart and you want to be 5 metres in front of the car to pull back in
Car B is travelling 2.777 m/s faster than car a
so in 12 secs:-
Car A has traveled 333.333 metres
Car B has travelled 366.666 metres
So car B has traveled a further 33.33 metres than Car A in 12 secs
So would take 12 secs allowing for a car 3 metres long for car b to pass with no change in either speed and safely pull in front
At 60km/h a car is travelling at 16.666666 m/s Car D
At 70km/h a car is travelling at 19.44444 m/s Car E
So travelling for 12 secs :-
Car D has traveled 199.9999 metres
Car E has travelled 233.3333 metres
Car E has travelled a further 33.88 metres
So in fact it would quicker to over take a car doing 60 and your doing 70 than a car doing 100 and your doing 110 by approx .5 sec
Now its all good in theory however we know this will never be the case as every
PRICK!!! speeds up when you try and pass