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An athlete completes one round of a circular track of diameter 200 m in 40 s. What will be the distance covered and the displacement at the end of 2 minute 20 s? |
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Answer» Solution :Diameter `= 200 m therefore r = 100 m` Time for one round of the track = 40 s `therefore` In 2 MIN 20 sec = 140 s, the athlete will complete `(140)/(40) = 3.5` rounds of the track. DISTANCE covered in one round = the circumference `=2pi r ` `therefore` distance covered in `3.5` rounds `= 2 XX (22)/(7) xx 100 xx 3.5= 2200 m` Displacement after `3.5` rounds, the athlete will be in the diametrically opposite position. `therefore ` displacement = diameter of the track = 200 m The distance covered `= 2200 m,` displacement `= 200 m.` |
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