An object moves in such a way that when it has moved a distance s its velocity is v=sqrts, how do you find its acceleration?
1 Answer
Dec 15, 2016
acceleration =
Explanation:
The velocity,
We are told that
:. (dv)/(ds) = 1/2s^(-1/2)
" " = 1/(2sqrt(s))
So using the chain rule we can write:
a = (dv)/dt
\ \ = (dv)/(ds) * (ds)/dt
\ \ = (1/(2sqrt(s))) * v
\ \ = (1/(2sqrt(s))) * sqrt(s)
\ \ = 1/2