Dealing with Velocity and acceleration. What do I do next? =P

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SUMMARY

The discussion focuses on a physics problem involving two vehicles: David, who drives at a constant speed of 21.0 m/s, and Tina, who accelerates from rest at 2.70 m/s². The objective is to determine the distance Tina travels before overtaking David and her speed at that moment. The equations of motion provided include distance and velocity formulas, which can be equated to find the time and distance at which Tina catches up to David.

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Homework Statement



David is driving a steady 21.0 m/s when he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady 2.70 m/s^2 at the instant when David passes.

David:
V= 21m/s

Tina:
V_i= 0 m/s
V_f= ?
acc= 2.7 m/s^2

How far does Tina drive before passing David?
What is her speed as she passes him?

Homework Equations




D_f= D_i + V_i + t_f + (1/2)at_f^2
V_f^2= V_i^2 + 2a(D_f - D_i)
V_f= V_i +at

The Attempt at a Solution



Well, I really don't have an attempt because I have no clue what to do. Any suggestions
 
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At the point Tina catches David their distances should be the same. You can set the two equations of motion equal and then solve for time. Once you have time you can solve for the other things.
 

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