Multiple choice

A person started from point 'O' and travelled 10 km towards east. Then, he turned left and travelled another 8 km. After that, he turned left again and travelled 4 km. He covered the whole journey in 2 hours. What was the average velocity of the person for the whole journey?

  1. 10 km/hr

  2. 6.5 km/hr

  3. 5 km/hr

  4. 3.25 km/hr
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Average velocity is total displacement divided by total time. The person travels 10 km East, 8 km North (left), then 4 km West (left). The final position relative to O is (10-4, 8) = (6, 8). Displacement = sqrt(6^2 + 8^2) = 10 km. Velocity = 10 km / 2 hr = 5 km/hr.

AI explanation

Average velocity is the total displacement divided by the total time, where the displacement is the straight-line distance from start to end. The person ends 6 km east (10 minus 4) and 8 km north of the start, forming a right triangle, so the displacement is the square root of (6 squared plus 8 squared), which equals 10 km. Dividing this 10 km displacement by the total time of 2 hours gives an average velocity of 5 km/hr.

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