Question

A cyclist travels a distance of 4
km from point P to Q and then
moves a distance of 3 km at
right angles to PQ. Find his
resultant displacement graphically.

"please fast"
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Answer 1

Answer: The resultant displacement of the cyclist is R = 5.

The resultant displacement of the cyclist is R = 5.The given data states that the cyclist travel 4 km and then travels 3 km. These form a vector when represented graphically and are perpendicular to each other. Therefore the resultant displacement is calculated using vector addition rule.

The resultant displacement of the cyclist is R = 5.The given data states that the cyclist travel 4 km and then travels 3 km. These form a vector when represented graphically and are perpendicular to each other. Therefore the resultant displacement is calculated using vector addition rule.The given vectors are PQ and QA, where PQ = 4 and QA = 3. Thereby, we have resultant displacement

R²=PQ²+QA²

R=√4²+3²

=√16+9

=√25

R=5

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