On graph paper a student draws two arrows from the same point O
PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
On graph paper a student draws two arrows from the same point O.
Arrow X is 6cm long and points 30∘ north of east. Arrow Y is 4cm long and points exactly east. The chosen scale is 1cm=2m/s.
(i) Calculate the magnitude of the velocity represented by arrow X.
(ii) Calculate the magnitude of the velocity represented by arrow Y.
(iii) Which arrow represents the greater speed? Explain your answer in terms of the graphical representation.
(iv) Can the two velocity vectors be regarded as equal? Give two distinct reasons based on their graphical features.