Calculating Time Needed for 10 m/s Increase

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Homework Statement


distance= z + b*time + x*(time^2) + y*(time^3)

x=0,2m/s^2
y=0,15m/s^3

I have to calculate after how long time the speed has increased by 10 m/s

The Attempt at a Solution


I have no idea what to do with m/s^3
 
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Your problem statement is unclear.

Please post the complete and exact wording of the problem, as it appears in your text or was otherwise supplied to you.
 
Yeah, sorry, I didn't write the formula correctly that was given in this exercise.. I edited the OP.
distance= z + b*time + x*(time^2) + y*(time^3)

z is some distance
b is starting speed

I have really bad English when it comes to terminology, so I hope you can understand now.
 
How is the velocity related to the distance travelled?