A boat initially at the origin of a river–bank coordinate system makes two successive…
PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane
Problem
A boat initially at the origin of a river–bank coordinate system makes two successive crossings.
First, it travels 50m at an angle of 120∘ measured anticlockwise from the positive x–axis.
Immediately after that, it changes course and moves 30m at an angle of −45∘ (clockwise from the positive x–axis).
(i) Resolve each displacement into its x– and y–components.
(ii) Find the boat’s final coordinates after the two crossings.
(iii) Determine the magnitude and direction (with respect to the positive x–axis) of the boat’s resultant displacement from the origin.