an athlete covers three and half circle of a circular ground in 3 min whose radius is 7m. calculate the distance, displacement, velocity and speed
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Answer:
Radius = 7m
Circumference = 2πr = 2 × 22/7 × 7 = 2 × 22 = 44m
time = 3 min = 3 × 60s = 180s
distance travelled = (3×44) + (1/2 × 44)
= 132 + 22
distance travelled = 154
Displacement is the shortest distance between initial and final point the athlete completed 3 and a half round . Thus the athlete is standing diametrically opposite to the starting point
Displacement = diameter = 2× radius = 2 × 7 = 14m
Speed = Distance / Time
Speed = 154 / 180 = 0.85m/s
Velocity = Displacement / Time
Velocity = 14 / 180 = 0.078 m/s
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