Question 1191468
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A police officer at the side of the highway sees a bank robber in the get-away vehicle 
speeding down the road at 35.0 m/s. The officer calls quickly for backup and then starts 
to follow the robber when the robber is 100. m away from her. 
If the officer starts from rest and accelerates at 1.40 m/s2, 
how far will she drive before she catches the robber? Include a diagram
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<pre>
In this catching up problem, the governing equation is


    35t + 100 = {{{(1.4*t^2)/2}}}    meters.


Simplify 


    35t + 100 = {{{0.7*t^2}}}

    {{{0.7*t^2}}} - 35t - 100 = 0


Solve using the quadratic formula. Use the positive root.


<U>ANSWER</U>.  t= 52.71 seconds.
</pre>

Solved.