On a hike you walk 5,000 m East, 3,000 m North, and 1,000 m West at a constant speed of 1 m/s. Calculate your velocity.

On a hike you walk 5,000 m East, 3,000 m North, and 1,000 m West at a constant speed of 1 m/s. Calculate your velocity.

A) 1.0 m/s
B) 0.44 m/s East + 0.33 m/s North
C) 0.55 m/s
D) 1.0 m/s East + 1.0 m/s North

Correct option is B.

Explanation:

Given,

Total distance = 5+3+1 = 9 km

So time = 9,000seconds

Distance east = 4 km

Distance north = 3 km

Displacement = hypotenuse of 3 4 5 triangle = 5 km

Speed east = 4 km/9 k seconds = .44444.... m/s

Speed north = 3 km/9k seconds = .33333.... m/s

Thus, the velocity is 0.44 m/s East + 0.33 m/s North.