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A person moves along a circular path by a distance equal to half the circumference in a given time. The ratio of his average speed to his average velocity is ;
Explanation
When a person moves along a circular path of radius 'r' for half the circumference, the distance covered is πr [t3][t4]. The displacement, defined as the shortest distance between the initial and final points, is equal to the diameter of the circle, which is 2r [t8][t9]. Average speed is calculated as total distance divided by total time (πr/t), while average velocity is total displacement divided by total time (2r/t) [t1][t8]. To find the ratio of average speed to average velocity, we divide (πr/t) by (2r/t), which simplifies to π/2. Numerically, this is approximately 3.14/2 = 1.57. Among the given options, '0-5TI' is a typographical representation of 0.5π (or π/2), which matches the calculated ratio [t2].
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