The distance between point A and B is 1000km.
A car is travelling from point A to point B at a velocity
of 14 km/h.
The car accelerates about 2 km/h^2 every 1
hour.
So what is the time taken for the car to travel from point
A to point B?
Lets use an unorthodox method. 
The car is travelling like this:
14 + (14+2) + (14+2+2) + (14+2+2) + ....
Notice we have:
Summation of 14 + 2r from zero to n.
Rearranging, we will have:
14(n+1) + 2(1+n)(n/2)
This is equivalent to 1000, so we have:
14n + 14 + n^2 + n = 1000
n^2 + 15n - 986 = 0
I will leave you to have fun using the quadratic formula.
You should know which answer to reject and which to keep.
The one remaining should be n = 1/2
(sqrt(4169)-15)
Here is the tricky part.
You will likely forget to add 1 to n to get the actual amount of
hours.
Notice that the summation is from zero to n.
Hence, the time should be (n + 1) hours.
