How Long Will it Take Me to Catch The Bus?

[bleedblue1234]

Homework Statement

Lisa is late for the school bus! (Oh - no) As Otto is pulling away with a constant acceleration of 1.10 m/s/s. Lisa is 11m away and running at a constant speed of 5.05 m/s..

When will Lisa catch the bus?

Where will Lisa catch the bus using the bus's initial position as the referance point?

Homework Equations

DeltaX= volt+1/2a(t)sqrd

The Attempt at a Solution

Honestly I have sat here thinking for about 30 minutes... any insight on how to start would be great... (I don't just want the answer)

 

[songoku]

Hi bleedblue1234

I think the initial speed of the bus is zero. If I interpret the question correctly, it will be like this :

Assume that Lisa catches the bus at point X after both of them move for t seconds. At that time, the bus will travel distance d and Lisa will travel distance 11 + d.
Now set up two equations and solve for t and use the value of t to find where Lisa will catch the bus.