1.

person is running along a circular track of area625 π m2 (π-22/7) with a constant speed. Find thedisplacement in 15 seconds if he has to complete therace in 30 seconds.

Answer»

area of circular track= 625π m^2

πr^2=625π

r^2=625 π will get cancelled when it will go on L.H.S.

r= √ 625

r=25

perimeter of circular track=2r

=2*22/7*25

=44*25/7

=1100/7

=157.14 m

the person has to run distance of 157.14 m

speed of person= distance/time

distance=157.14 m

time= 30 seconds

speed= 157.14/30

=5.23 m/s

displacement= speed* time

time=15 seconds

speed=5.23 m/s

displacement= 5.23*15

displacement in 15 seconds = 78.45 m



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