Finding Time, given velocity and acceleration

[bustin]

Homework Statement

A bicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of 3.9 m/s. Two seconds later the bicyclist hops on his bike and accelerates at 2.0 m/s^{2} until he catches his friend.

Homework Equations

V=V0+At

The Attempt at a Solution

Well I could put the numbers in the equation but I know its wrong anyways. Not sure how to get this problem going.

 

[Delphi51]

You need distance formulas because the distance traveled is the same in both cases.
Don't forget to account for the 2 second delay. You might want to put t in one formula and t-2 in the other.