Question

The car travels along a straight road 100m east then 50m west. Find the distance and the displacement of the car.​

Answer 1

Answer:

Distance travelled is the total length of the path travelled by the car.

\longrightarrow\sf{d=100\ m+50\ m}⟶d=100 m+50 m

\longrightarrow\sf{\underline{\underline{d=150\ m}}}⟶

d=150 m

Displacement is the linear separation between initial and final points. Here the car moved 100 m forward and then 50 m backward. Then,

\longrightarrow\sf{s=100\ m-50\ m}⟶s=100 m−50 m

\longrightarrow\sf{\underline{\underline{s=50\ m}}}⟶

s=50 m

Explanation:

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Answer 2

Question:

The car travels along a straight road 100m east then 50m west. Find the distance and the displacement of the car.

Answer:

Refer to the attachment for Reference

Let the car move from A to B.

Distance covered from A to B= 100m

Then It moves to C

Distance covered from B to C=50 m

Total distance covered:

100m + 50m = 150m

Lets take east direction as positive

The car has moved from A to B

Displacement covered = + 100m

If east is positive then west is negative

Displacement from B to C= -50 m

Total displacement covered:

+ 100m - 50m = + 50m

Here, + 50 indicates east direction.

♣️Alternate method :

Initial point : A

Final point: C

Direction => East direction

Displacement = +(100-50)=+50 m

♣️So Final Answer:

Displacement = +50 m

Distance = 150 m