Question

Sarah travels a distance of 4m towards west ,then 3m towards south and 6m towards east. a) find her distance b) find the displacement of Sara from her original point

Answer 1

$\bigstar\:\:\rm\blue{GIVEN}\:\:\bigstar$

• Sarah travels a Distance of 4m toward west.

• Sarah travels a distance of 3 meter toward south

• Sarah travels 6m toward East.

$\bigstar\:\:\rm\blue{TO\:FIND}\:\:\bigstar$

• Distance and Displacement of sarah.

Now,

Distance= 4+3+6= 13cm.

Now,

Displacement= Distance from A to E.

Now,

In ∆ ADE

$\rm\blue{(AD)^2+(DE)^2=(AD)^2}$

$\rm\blue{(3)^2+(2)^2=(AD)^2}$

$\rm\blue{9+4=(AD)^2}$

$\rm\blue{13=(AD)^2}$

$\rm\blue{AD=\sqrt{13}}$

Hence, The Displacement is √13cm.

$\tt\blue{EXTRA\:INFORMATION}$

• Distance is the actual path travelled by body.

• The Shortest Distance between initial and final position is called displacement

• Displacement is a vector quantity.

• Distance is a scalar quantity.