# 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#