A cleaning robot starts from point O on the floor of a large hall
PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane
Problem
A cleaning robot starts from point O on the floor of a large hall. Its path consists of the following straight-line moves, each at right angles to the previous one:
• 4 m north
• x m east
• 2 m south
• 6 m west
After completing these moves, the robot stops at point P, which is exactly 2 m north and 4 m west of point O.
Answer the questions below:
(i) Draw a labelled sketch of the robot\'s path, clearly marking the unknown length x.
(ii) Determine the value of x.
(iii) Calculate the total distance travelled by the robot.
(iv) Find the magnitude of the displacement of the robot from O to P and specify its overall direction with respect to point O.