A student is riding their bike. They start by riding their bike east for 67 meters. They turn north and ride
their bike 41 meters. They turn south and continue for 62 meters. Finally, they turn west and ride their
bike
67 meters.
The displacement of the student is:
Ax=
☐ unit direction



Answer :

21 meters south

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Displacement is a vector quantity that considers the direction and the shortest path from the starting point to the final position:

  • East for 67 meters
  • North for 41 meters
  • South for 62 meters
  • West for 67 meters

First, we calculate the net displacement in the north-south direction:

  • Net North-South Displacement = 41 meters (north) - 62 meters (south) = -21 meters (north) = 21 meters (south).

Next, calculate the net displacement in the east-west direction:

  • Net East-West Displacement = 67 meters (east) - 67 meters (west) = 0 meters.

Thus, the total displacement is:

  • Ax = 0 meters (east-west) and -21 meters (south).

The final displacement is 21 meters south.