Question

A person moves 5m towards east and then 13m towards north. Find the displacement?

PLEASE SHOW STEP WISE

Answer 1

Given:-

• Distance moved by person in East =5m

• And, again distance towards north =13m

To Find:-

• Displacement of the person

Solution:-

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According to the Question

By using Phythagoras theorem

→ AC² = AB²+BC²

Substitute the value we get

→ Q² = 5² +13²

→ Q² = 25+169

→ Q² = 194

→ Q = √196

→ Q = 13.92

∴ The displacement of the person is 13.92 m .

For more information see the diagram!!

Answer 2

GIVEN✍

• Distance covered by an person in East side = 5m
• Distance covered by same person in North side = 13m

FIND✍

• Find the displacement = ?

SOLUTION:✍

Here,

we know that the displacement is equal to the shortest distance between the initial and the final velocity.

Thus, by using pythogoras theorem we are able to find the displacement.

H² = P² + B²

where,

• H = 13m
• B = 5m

substituting these values in pythogoras theorem

AB² = OB² + OA²

=> (13)² = OB² + (5)²

=> 169 = OB² + 25

=> 169 - 25 = OB²

=> OB² = 144

=> OB = √144

=> OB = 12m

Hence, displacement = 12m