What fraction of the distance do the block move?

[JD<3]

A block slides a distance d down a frictionless plane and then comes to a stop after sliding a distance s across a rough horizontal plane, as shown in the accompanying figure.

What fraction of the distance s does the block slide before its speed is reduced to one-third of the maximum speed it had at the bottom of the ramp?

a) s/3
b) 2s/3
c) s/9
d) 8s/9

Thanks for the help! :)

 

[SHISHKABOB]

could you show what attempts you have made at solving the problem?

 

[JD<3]

I thought that since it is reduced by 1/3 then it would be s/3. But I'm so confused because I know when something is reduced then you multiply to find the number.

 

[alienprophecy]

Is that all of the information that they gave you? It seems like they would have given you some other information, such as the angle between the smooth and rough surface, and especially the friction coefficient for the rough surface (usually denoted by the symbol μ).