A biker traveling the road is 100 km away from his destination, at t=0 (initial time). His speed, at the start point, is 100km/hour, and varies equalys to his distance from the final destination, decreasing. So, after 40 km traveled(and therefore 60 km away from his target) he is at 60 km/h. H
How much time will it take until he reaches his destination? What is the function that express the position of the biker?
I think this might help: http://hyperphysics.phy-astr.gsu.edu/hbase/avari.html
EDIT: That is NOT a homework assignment. I created this question in my head.
So, i worked a little, and find the following equations:
V = -s + 100
Since ds/dt = velocity , => ds/dt = (-s+100) ds/(-s+100) = dt
ln 100 - ln (100 - s)
So, how i find the equation of acceleration? thats the real question.