A wind blows with a speed of in a direction making with the positive x-axis (angles…
PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
A wind blows with a speed of 40kmh−1 in a direction making 150∘ with the positive x-axis (angles measured anticlockwise from the x-axis).
(i) Express the wind velocity vector in unit-vector form Vx^+Vy^.
(ii) If each component is rounded to the nearest whole number of kilometres per hour, find the magnitude of the rounded vector.
(iii) Calculate the percentage error in this magnitude with respect to the actual speed of 40kmh−1.