Multiple choice

A person walking towards north covers $4\ km$ and turns towards east and covers $3\ km$ in total times $5$ hours, then average velocity is

  1. $1\ kmph$
  2. $2\ kmph$
  3. $3\ kmph$
  4. $4\ kmph$
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A Correct answer
Explanation

Average velocity is defined as total displacement divided by total time. The displacement is the straight-line distance from start to finish, which is sqrt(4^2 + 3^2) = 5 km. Dividing 5 km by 5 hours gives 1 km/h.

AI explanation

Average velocity is defined as the net displacement divided by the total time taken. The person's net displacement is the straight-line distance from the start to the end point, which forms the hypotenuse of a right triangle with sides 4 km and 3 km, giving a displacement of 5 km. Dividing this 5 km displacement by the total time of 5 hours gives an average velocity of 1 kmph.