Quick polar coordinates question

Soldato
Joined
29 Jun 2006
Posts
3,372
Location
Sheffield
I'm stuck on a question about curvilinear motion using polar coordinates.

A car P travels along a straight road with a constant speed v = 100km/h (=27.8m/s). At the instant when the angle theta = 60 degrees (=pi/3 radians), determine the value of dr/dt in m/s and d(theta)/dt in deg/s.

Diagram: http://img706.imageshack.us/img706/371/diagramv.jpg

Answers: dr/dt = 13.89m/s and d(theta)/dt = -39.8 degrees/s

I am pretty bad at polar coordinates and would like to know the method for this question.
 
Soldato
Joined
26 Apr 2008
Posts
6,631
Location
Bristol, Old Blighty
If it were me doing the problem, I'd work out which component of the car's velocity is pointing directly away from you and which component is perpendicular to your line of sight. Your answers should just drop right out.

Hope that helps.
 
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