If velocity of a particle moving along a straight line changes sinusoidally with time as shown in the given graph. Find the average speed over time interval t = 0 to t = 2 (2n – 1) seconds, n being any positive integer.
Text Solution
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( 
m/s)
It can be observed from the graph, that average speed in time interval t = 0 to t = 2 sec is same as that in intervals t = 0 to t = 4 sec. , t = 0 to t = 8 sec., t = 0 to t = 12 sec............
or t = 0 to t = 2 (2n – 1) seconds
The speed as function of time is
v = 
= 
= 
The average speed in time interval
t = 0 to t = 2 sec is
= 
= 
= 
m/s
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