Question

Aroom has dimensions of 4m x3m
An ant starts
moving from one corner
of the room to diagonally opposite corner of roon. Calculate
its displacemen? step by step explanation plz​

Answer 1

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About question:

☯ Correct question: A room has dimensions of 4m × 3m. An ant starts moving from one corner of the room to diagonally opposite corner of room. Calculate its displacement?

☯ Understanding the question: This question says that there is a room (see attachment 1st green border) the the ant move there as said in the question (see attachment 2nd the ant move like the traingle is made).

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Given that:

☯ A room have dimensions 4 metres into 3 metres. That is

• Length = 4 metres
• Breadth = 3 metres

☯ An ant starts moving from one corner of the room to diagonally opposite corner of room.

To find:

☯ Displacement

Solution:

☯ Displacement = 5 metres

Using concept:

☯ Phythagoras Theorm

Full solution:

⇒ (Hypotenuse)² = (Base)² + (Perpendicular)²

⇒ (H)² = (B)² + (P)²

⇒ (H)² = (3)² + (4)²

⇒ (H)² = 9 + 16

⇒ (H)² = 25

⇒ H = √25

⇒ H = 5 metres

⇒ Hypotenuse = 5 metres

⇒ Displacement = 5 metres

${\large{\pmb{\sf{\underline{AdditioNal \; Knowledge...}}}}}$

Phythagoras Theorm knowledge!

Phythagoras Theorm: Phythagoras Theorm is applied only in right angled triangles. Phythagoras Theorm states that in a right angled triangle, the square of the hypotenuse is always equal to the sum of the square of base and the sum of the square of perpendicular of the right angled triangle. Perpendicular is also termed as height

A triangle is right angled triangle if the square of the hypotenuse is equal to the sum of the square of base and the sum of the square of perpendicular.

Kindly see the attachment 3rd

• Right angled triangle is always equal to 90° and the other two triangle's are acute.

• The side that is opposite to the right angle is known as hypotenuse.

• The other two sides are known as base or perpendicular/height or legs of the right angled triangle.

• Hypotenuse is the longest side of a right angled triangle.

Physics knowledge!

★ Distance = It is the length of actual path covered by a moving object in a given time interval.

★ Displacement = Shortest distance covered by a body in a definite direction is called displacement.

→ Displacement may be positive, negative or zero whereas distance is always positive.

→ Distance is a scaler quantity whereas displacement is a vector quantity both having the same unit.

→ In general magnitude of displacement ≤ Distance.

★ Speed = Distance travelled by a moving object in unit time interval is called speed i.e., speed Distance/Time. It's scaler quantity and it's SI unit is metre/second

★ Velocity = Velocity of moving object is defined as the displacement of the object in unit time interval i.e., velocity = Displacement/Time. It's vector quantity and it's SI unit is metre/second.

★ Acceleration = Acceleration of an object is defined as the rate of change of velocity of the object i.e., Acceleration = Change in velocity/Time. It's vector quantity and SI unit is m/s²