Help i am lost. ‚ÄčA car traveling at a constant speed

Physics
Tutor: None Selected Time limit: 1 Day

A car traveling at a constant speed of 36.4 km/hr 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 3.96

Oct 4th, 2015

Thank you for the opportunity to help you with your question!

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

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

for a successful chase, both the distances need to be equal:

so on solving we get t= 5.1 se

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

so the trooper over takes at 5.1 

Oct 4th, 2015

just a minute.

Oct 4th, 2015

sorry there was some calculation mistake:


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


Oct 4th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Oct 4th, 2015
...
Oct 4th, 2015
May 29th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer