Question

A tiger paces back and forth along the front of its cage, which is 8 m wide. The tiger starts from the right side of the cage, paces to the left side, then back to the right side, and finally back to the left. What total distance has the tiger paced? What is the tiger's resultant displacement?

Answer 1

The total distance is 24 m.

The tiger's resultant displacement is 8 m.

Step-by-step explanation:

Given that,

Width of tiger= 8 m

Tiger starts from the right side of the cage,

Paces to the left side

`\Delta x_(1)=+8\ m`

Then, back to the right side,

`\Delta x_(2)=-8\ m`

finally, back to the left

`\Delta x_(3)=+8\ m`

We need to calculate the total distance covered

Using formula of distance

`d= x_(1)+x_(2)+x_(3)`

Put the value into the formula

`d=8+8+8`

`d=24\ m`

We need to calculate the tiger's resultant displacement

Using formula of displacement

`D=\Delta x_(1)+\Delta x_(2)+\Delta x_(3)`

Put the value into the formula

`D=8+(-8)+8`

`D=8\ m`

Hence, The total distance is 24 m.

The tiger's resultant displacement is 8 m.