Question

A woman runs 40 m to the north in 6.0 s, and then 30 m to the east in 4.0 s. What is the magnitude of her average velocity?

• A. 5.0 m/s
• B. 6.0 m/s
• C. 6.7 m/s
• D. 7.0 m/s
• E. 7.5 m/s

Answer 1

The correct option is A 5.0 m/s

The average velocity is given by total displacement divided by the total time taken for the displacement to occur.

The net displacement after the total path taken=$\sqrt{{40}^2+{30}^2}m=50m$

Total time taken to attain this displacement=$6s+4s=10s$

Hence the average velocity of the motion=$\frac{50m}{10s}=5m/s$