SOLUTION: A particle P moves in a circular trajectory with radius 2 metres. its speed as a function of the angle X (measured in radians in an anti-clockwise direction) between the positive x

Algebra ->  Trigonometry-basics -> SOLUTION: A particle P moves in a circular trajectory with radius 2 metres. its speed as a function of the angle X (measured in radians in an anti-clockwise direction) between the positive x      Log On


   

Question 870320: A particle P moves in a circular trajectory with radius 2 metres. its speed as a function of the angle X (measured in radians in an anti-clockwise direction) between the positive x-axis and OP is given V(X)= (X)/(X^2 +1).
determine what distance the particle has travelled when P reaches its maximum speed.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Max speed occurs when dV%2FdX=0

dV%2FdX=0 when 1-X%5E2=0 or X%5E2=1,X=1
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S=R%2AX
S=2%2A1=2m