SOLUTION: 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

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Question 1191468: 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

Answer by ikleyn(52803) About Me  (Show Source):
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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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In this catching up problem, the governing equation is


    35t + 100 = %281.4%2At%5E2%29%2F2    meters.


Simplify 


    35t + 100 = 0.7%2At%5E2

    0.7%2At%5E2 - 35t - 100 = 0


Solve using the quadratic formula. Use the positive root.


ANSWER.  t= 52.71 seconds.

Solved.