Tara and Zach are leading a systems development project and they want the investigation phase to go smoothly and quickly. They d
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Sounds like the situation is modeled like so:
[Light] - - - - - - - - - - [You] => - - -
- - - - - - - - - - - - - - - [Cop] - - - - -
<= = = 200 m = = =>
where your velocity is 27.8 m/s to the right. So the question is asking, is it possible that your car, given that it accelerates at a maximum of 1/5 m/s^2, can reach a speed of 27.8 m/s from rest in the time it takes for it to cover 200 m.
The car's position at time is
The time it takes to traverse 200 m is
Your car's velocity at time , starting from rest, is
so that after 16.3 s, your car is moving at a speed of
which is less than the speed the cop claims you were going, so the cop is not correct.