Green Eye said:
JoeD said:
Here is a similar type problem I think I can remember:
John drives his car from point A to point B at 50 km/h. How fast would he have to drive back to point A to average 100 km/h for the round trip?
Instantaneously....
BOOYAH!!!
Mathematically:
Let x be the distance travelled
t1 be the time from A to B
t2 the total time
and T the time from B to A
x/t1 =50 (a)
2x/t2 = 100 (b)
(b)/(a)
2xt1/xt2 = 100/50
therefore t1/t2 = 1
t2 = t1 +T
so
t1 = t1 + T
Therefore T = 0
So for Velocity it is the integral of the distance with respect to time or more simply
Distance/time
and time is zero so the answer is the speed is infinite.