To calculate the total displacement, we need to find the vector sum of the individual displacements in the North and East directions.
The displacement towards the East is 5.1 km [E]. Since this is a displacement only in the x-axis (horizontal direction), we can represent it as (5.1, 0) km.
The displacement towards the North is 14 km [N]. Since this is a displacement only in the y-axis (vertical direction), we can represent it as (0, 14) km.
To find the vector sum, we add the components of the displacements separately:
(5.1 km, 0 km) + (0 km, 14 km) = (5.1 km, 14 km)
Therefore, the total displacement is 5.1 km [E] and 14 km [N], or 5.1 km [E 14 N].
A motorcyclist drives 5.1 km [ E ] then turns and drives 14 km [N]. What is their total displacement?
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