Question

An athlete complete one round of a circular track of diameter 200m in 40sec. What will be the distance covered and displacement at the end of 2 min and 2 second​

Answer 1

QuestioN:

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• An athlete complete one round of a circular track of diameter 200m in 40sec. What will be the distance covered and displacement at the end of 2 min and 2 second.

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${\frak{Clearly,\:we\:have}}$

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$\:\:\:\:\:\curlyeqsucc{\sf{Diameter\:of\:Circular\:track\:=\:200m}}$

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$\:\:\:\:\:\:\:\:\:\curlyeqsucc{\sf{Radius\:(r)\:=\:{\dfrac{200}{2}}\:=\:100m}}$

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$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\curlyeqsucc{\sf{Time\:taken\:by\:Athlete\:to\:complete\:one\:round\:=\:40\:sec}}$

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$\:\:\:\:\:\:\:\:━━━━━━━━━━━━━━━━━━━$

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Now,

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${\sf{\red{\bigstar{\:Speed\:=\:\dfrac{Distance}{Time}}}}}\:\\ \\ {\:\:\:\:\:\:\sf{\red{\bigstar{\:Circumference\:of\:Circle\:=\:2 \pi r}}}}$

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• 2 min 20 seconds = 140 seconds

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$\:\:\:\:\:\:\:\gg\:{\sf{\dfrac{140}{40}}\:=\:3.5}$

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$\gg\:\small{\sf{Distance\:Covered\:=\:3.5\:\times\:Circumference}}$

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$\gg\:\small{\sf{Distance\:Covered\:=\:3.5\:\times\:2\:\times\:{\dfrac{22}{7}}\:\times\:100}}$

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$\gg\:\small{\sf{Distance\:Covered\:=\:5\:\times\:2\:\times\:22\:\times\:100}}$

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$\:\:\:\:\:\:\:\:\:\gg\:{\sf{Distance\:Covered\:=\:2200m}}$

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Hence,

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$\:\therefore\:{\underline{\sf{The\:distance\:covered\:at\:the\:end\:of\:2\:min\:20\:sec\:is\:{\textsf{\textbf{2200m}}}}}}.$

And,

$\:\therefore\:{\underline{\sf{Displacement\:is\:{\textsf{\textbf{200m}}}\:as\:it\:return\:to\:initial\:position\:again}}}.$

$\:\:\:\:\:\:\:\:━━━━━━━━━━━━━━━━━━━$

${\blue{\sf{\bf{@ℐᴛᴢӇᴀᴘᴘʏҨᴜᴇᴇɴ࿐}}}}$

Answer 2

Answer:

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