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Awesome! If you have travelled \(5 \, \mathrm{miles}\) in one direction, and travelled back \(3 \, \mathrm{miles}\), you are only \(2 \, \mathrm{miles}\) from where you started.
What about the net displacement and the total distance travelled in this scenario: you ride your bike \(7 \, \mathrm{miles}\) towards the East. You stop for half an hour. Then, you continue going along the East for \(5 \, \mathrm{miles}\)?
  • Final displacement \(= \, 12 \, \mathrm{miles}\); Total distance \(= \, 12 \, \mathrm{miles}\)
  • Final displacement \(= \, 7 \, \mathrm{miles}\); Total distance \(= \, 7 \, \mathrm{miles}\)
  • Final displacement \(= \, 2 \, \mathrm{miles}\); Total distance \(= \, 12 \, \mathrm{miles}\)
  • Final displacement \(= \, 12 \, \mathrm{miles}\); Total distance \(= \, 2 \, \mathrm{miles}\)