Question

A car moves 100m due east and then 25m due north. What is the distance travelled by car. What is the displacement of the car

Answer 1

$\tt\huge\bold\green{To \:find }$

➪Distance

➪Displacement

⠀

Total distance = OA+AB

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 25+100

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 125 m

⠀

To find Displacement (OB)

we use Pythagoras theorem__

➪$\large\bf{{H}^{2} = {P}^{2} + {B}^{2}}$

➪$\large\bf{{H}^{2} = {100}^{2} + {25}^{2}}$

➪$\large\bf{{H}^{2} = 10000 + 625}$

➪$\large\bf{{H}^{2} = 10625}$

➪$\large\bf{{H}^{2} = \sqrt{10625} }$

➪$\large\bf{H = 103 m}$

Displacement = 103 m