How Long Will it Take Me to Catch The Bus?

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Lisa is trying to catch a school bus that is accelerating at 1.10 m/s² while she runs at a constant speed of 5.05 m/s from a distance of 11 meters away. To determine when and where she will catch the bus, it's suggested to set up equations for both Lisa's and the bus's movements over time. The bus starts from rest, so its initial speed is zero. By solving these equations simultaneously, one can find the time it takes for Lisa to catch the bus and the location of the catch. This approach provides a structured way to solve the problem without simply giving the answer.
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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= Vot+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)
 
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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. :smile:
 
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