Answer:
The total distance is 24 m.
The tiger's resultant displacement is 8 m.
Explanation:
Given that,
Width of tiger= 8 m
Tiger starts from the right side of the cage,
Paces to the left side
[tex]\Delta x_{1}=+8\ m[/tex]
Then, back to the right side,
[tex]\Delta x_{2}=-8\ m[/tex]
finally, back to the left
[tex]\Delta x_{3}=+8\ m[/tex]
We need to calculate the total distance covered
Using formula of distance
[tex]d= x_{1}+x_{2}+x_{3}[/tex]
Put the value into the formula
[tex]d=8+8+8[/tex]
[tex]d=24\ m[/tex]
We need to calculate the tiger's resultant displacement
Using formula of displacement
[tex]D=\Delta x_{1}+\Delta x_{2}+\Delta x_{3}[/tex]
Put the value into the formula
[tex]D=8+(-8)+8[/tex]
[tex]D=8\ m[/tex]
Hence, The total distance is 24 m.
The tiger's resultant displacement is 8 m.
