Multiple choice

A person walks a distance of $30\ m$ along west with a speed of $2\ m/s$ and $40\ m$ along north with a speed of $4\ m/s$. Find his average speed and average velocity

  1. $2.8m/s, 2m/s$
  2. $3m/s, 4m/s$
  3. $5m/s, 2.8m/s$
  4. $1.8m/s, 2.4m/s$
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A Correct answer
Explanation

Total distance = 30+40 = 70m. Time = 30/2 + 40/4 = 15+10 = 25s. Average speed = 70/25 = 2.8 m/s. Displacement = sqrt(30^2 + 40^2) = 50m. Average velocity = 50/25 = 2 m/s.

AI explanation

The time taken to walk west is 30 m / 2 m/s = 15 s, and the time to walk north is 40 m / 4 m/s = 10 s, yielding a total time of 25 s. The average speed is the total distance (70 m) divided by the total time, which is 70 / 25 = 2.8 m/s. The displacement forms a right-angled triangle, giving a straight-line distance of sqrt(30^2 + 40^2) = 50 m; dividing this by the total time gives an average velocity of 50 / 25 = 2 m/s.

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