Vehicle velocity after acceleration over 0.30 km

[varsitymsb5]

Please help,

A vehicle enters a test section of straight road at s = 0 with a speed of 50 km/h. It then undergoes an acceleration which varies with displacement as shown. Determine the velocity v of the vehicle as it passes the position s = 0.30 km.

Thanks!

 

[tiny-tim]

hi varsitymsb5!

show us what you've tried, and where you're stuck, and then we'll know how to help!

 

[varsitymsb5]

∫vdv from 8.33E-4 to v = ∫ads from 0 to 300
v^2=vnot^2+2a(snot-s)=(8.33E-4)^2+2(.4)(300)
v=15.49m/s

This is what I did but the answer is wrong and not sure what I did wrong.

 

[tiny-tim]

It then undergoes an acceleration which varies with displacement as shown.

so the question says that a is a function of s …

what function?