##### Help!​A car traveling at a constant speed

 Physics Tutor: None Selected Time limit: 1 Day

A car traveling at a constant speed of 36.4 m/s passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets in a chase after the car with a constant acceleration of 3.96m/s^2.

how long after the trooper starts the chase does he overtake the speeding car?

Oct 4th, 2015

the car's speed is 36.4 * 5/18 = 10.11 m/s

the troop chases with an initial velocity u = 0

and acceleration = 3.96m/s^2

After a time t sec

the distance covered by the car  = 10. 11 * (t+1)

and by the trooper = 0.5* a*t^2

on equating the distance from both the equations wee get a quadratic equation:

0.5* a*t^2 - 10. 11 * t  - 10. 11= 0

on solving for t , we get t = 11.92 sec

so the chase will be complete at (11.92+ 1) = 12.92 sec

Please let me know if you need any clarification for the doubts. I'm always happy to answer your questions. Looking forward to help you again. thank you. :)
Oct 4th, 2015

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Oct 4th, 2015
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Oct 4th, 2015
Dec 4th, 2016
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