Question

A person walks 3km due to north and then 4km due west, the total displacement is a. 7km b. 1km c. 5km d. 2.64km

Answer 1

Answer:

C . 5km

Explanation:

Given ,

The person walks 3 km north and 4 km west .

By drawing from the above given information , one can observe that the figure formed would be an inverted right angled triangle with height of 3 units and base  of 4 units .

The hypotenuse would be the total displacement .

What is displacement ?

Displacement is the shortest path of a body from a initial point to the ending point .

Therefore ,

By Pythagoras theorem ,

Height² + Base² =  Hypotenuse²

Height² + Base² =  Displacement²  [ from above conditions]

3² + 4² = Displacement²

25 = Displacement²

Therefore ,

Displacement = √25

Displacement = ± 5

But ,

Displacement cannot be negative .

Therefore , the total displacement of the person would be 5 km .

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