Boat A moves with a velocity of toward the direction
PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
Boat A moves with a velocity of 20kmh−1 toward the direction N30∘E, while Boat B moves with 15kmh−1 toward S45∘W. Take east as the positive x–axis and north as the positive y–axis.
(i) Resolve the velocities of both boats into their x and y components.
(ii) Determine the velocity of Boat A relative to Boat B.
(iii) Obtain the unit vector directed along this relative velocity.
(iv) Calculate the magnitude of the relative velocity and the angle it makes with the positive x–axis.