A particle moves along the circumference of a circle of radius 300 m. takes 2 minutes to go from a point on the circle to a diametrice opposite point. The average velocity of the particle is
a)2.5 m/s
b)7.85 m/s
c)8 m/s
d)7 m/s
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Answer:
GIVEN :
R=300m
=> DIAMETER = DISPLACEMENT = 2×R = 2×300 =600m
TOTAL TIME = 2 MINUTES = 2× 60 s = 120 s
SO,
AVERAGE VELOCITY = TOTAL DISPLACEMENT/ TOTAL TIME = 600 ÷ 120= 5 m/s
I THINK YOUR QUESTION IS INCORRECT
BECAUSE THE OPTION THAT YOU HAVE GIVEN ARE MATCHING FOR AVERAGE SPEED BUT NOT FOR AVERAGE VELOCITY.
SO PLEASE CHECK THE QUESTION AGAIN CAREFULLY.
IF THEY WOULD HAVE ASKED FOR AVERAGE SPEED THEN THE ANSWER WOULD BE :-
TOTAL DISTANCE= Pi × R = 22/7 × 300
=942.85 m
and
TOTAL TIME = 2×60=120 s
=> AVERAGE SPEED = 942.5÷120 = 7.85 m/s
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