Question

A person travels 4m towards East than turn left and then travels 3m towards north what is the magnitude of its displacement​

Answer 1

Answer:

the magnitude of its displacement​ is 5 m

Explanation:

Given,

the height at which the object is with respect to the ground is 4 meter.

To find: what is the magnitude of its displacement​

Solution:

Refer to the figure. The person first travel distance CB and then BC.

Then, displacement will be AC shown with blue line as displacement is the shortest distance between inital and final position for a body.

In right angled triangle ABC, blue line would be hypotenuse of that triangle.

Using, Pythagoras theorem,

AC² = AB² + BC²

or, AC² = 3² + 4²

or, AC² = 9 + 16

or, AC² = 25

or, AC = √25

or, AC = 5 m

Therefore, the magnitude of its displacement​ is 5 m.

Answer 2

Given

• the height at which the object is with respect to the ground is 4 meter.

To find:

• the magnitude of its displacement

Solution:

The person first travel distance CB and then BC.

Then, displacement will be AC shown with blue line as displacement is the shortest distance between inital and final position for a body.

In right angled triangle ABC, blue line would be hypotenuse of that triangle.

Using, Pythagoras theorem,

AC² = AB² + BC²

or, AC² = 3² + 4²

or, AC² = 9 + 16

or, AC² = 25

or, AC = √25

or, AC = 5 m

• Therefore, the magnitude of its displacement is 5 m.