Respuesta :
Answer:
time taken t = 6.00 seconds
the time taken to cover half a round is 6.00 seconds
Explanation:
Given;
Speed of ant v = 11 m/s
radius of Circle r = 21 m
Circumference of a circle
c = 2πr
Half a turn d = c/2 = 2πr/2 = πr
Time taken to cover distance d( half a turn);
time = distance/speed = d/v = πr/v
Substituting the values;
time =(π×21)/11 = 5.997585975035 seconds
time taken t = 6.00 seconds
It takes 6 seconds for the ant to cover half a round.
Speed is the time rate of change of distance. It is given by:
Speed = distance / time
Since the radius of the circle is 21 m:
Distance covered for one round = 2π * radius = 2π(21) = 132 m
Distance covered for half round = 132 m/2 = 66 meter
Time taken to cover half a round:
Speed = distance/time
11 = 66/time
Time = 6 seconds
It takes 6 seconds to cover half a round.
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