Question

A person starting point A move 10 m towords rite then take left turn and move 8 m distance and again take left turn and move 10 m distance to reach point B. Find the distance and displacement of the person.?

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Displacement=8\:m}}}$

$\green{\tt{\therefore{Distance\:cover=28\:m}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given: }} \\ \tt: \implies AC= 10 \: m \\ \\ \tt: \implies CD = 8 \: m \\ \\ \tt: \implies DB = 10 \: m \\ \\ \red{\underline \bold{To \: Find: }} \\ \tt: \implies Displacement = ? \\ \\ \tt: \implies Distance \: cover = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Displacement = Final - Initial \: position \\ \\ \tt: \implies Displacement = 8 - 0 \\ \\ \green{\tt: \implies Displacement =8 \: m} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Distance \: covered = AC +CD + DB \\ \\ \tt: \implies Distance \: covered =10 + 8 + 10 \\ \\ \green{\tt: \implies Distance \: covered = 28 \: m}$

1. Displacement is vector quantity
2. Distance is scalar quantity.

• Displacement is overall change in position.
• Distance is total covered distance during its motion.

Answer 2

⇛ GiveN :

AC = 10 m

DC = 8 m

BD = 10 m

$\rule{150}{2}$

⇛To FinD :

We have to find the distance and displacement of the person ?

$\rule{150}{2}$

☯ SoLuTiOn :

We know that,

Displacement is the shortest path.

The shortest path (Displacement) = 8 m

$\rule{100}{2}$

Now, we will find the distance covered by the person.

➛ Distance = AC + DC + BD

➛ Distance = 10 + 8 + 10

➛ Distance = 18 + 10

➛ Distance = 28 m

$\rule{200}{2}$

★ Additional Information :

Difference between Distance and displacement were given below ⤵⤵⤵

• Distance is scalar, while displacement is vector both having same dimensions [L] and same SI unit metre.

• For motion between two points displacement is single valued, while distance depends on actual path and so can have many values.

• For a moving particle distance can never decreases with time while displacement can. Decrease in displacement means body is moving towards the initial position.

• For moving particle distance can never be negative or zero, while displacement can be. (Zero displacement means that body after motion has come back to initial position)

• Distance > 0 but |Displacement| > = or < 0

• In general magnitude of displacement is not equal to distance. However it can be so if the motion is along a straight line without change in direction.