Posted by **Angela** on Wednesday, October 7, 2009 at 12:30pm.

David is driving at a steady 30.0 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 David passes. How far does Tina drive before passing David and what is her speed as she passes him?

- physics -
**MathMate**, Wednesday, October 7, 2009 at 12:49pm
Let t=0 when David passes Tina.

Consider the speed of Tina.

v0=0 m/s

a=2.7 m/s²

Assuming Tina accelerates indefinitely, at time t when she overtakes David, they would have travelled the same distance since t=0.

Distance travelled by David

= 30t

Distance travelled by Tina

=v0*t + (1/2)at²

Equate and solve for t.

Her speed would be a*t.

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