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A particle moves according to the equation X =acos(pit/2) the distance covered by the particle in the time interval t=0 to t=3 is

A particle moves according to the equation X =acos(pit/2) the distance covered by the particle in the time interval t=0 to  t=3 is
 

Grade:11

1 Answers

Arun
25750 Points
5 years ago
 
A particle moves according to equation x=Acosπt
Thus the particle is at extreme position.
Time period is = 2pi/pi = 2 seconds.
 
it means that again when it reach the same extreme position it will do it in 2 seconds by covering 4A distance 
{A in each .5 second}
for next 1.5 seconds it will cover 3A distance.
HENce, total distance the particle will cover will be:
4A + 3A = 7A.

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