Question

take a meter scale and a long rope walk from one corner of basketball court along its sides measure the distance covered by you and magnitude of displacement what difference would you notice between this case

Answer 1

Given :
Let a be the length of basket ball court
Let b be the breadth of basket ball court.
Distance is defined as the total path travelled.
Hence Distance covered by the person to reach other end of basket ball court will be
= length of court+breadth of court.=a+b
Distance travelled=a+b
Displacement is the shortest distance between Source and destination.
Hence ,
Displacement will be the straight line [diagonal]as shown in the figure.
Displacement = √a²+b²

∴We notice that the displacement depends upon the route ans it is always less than or equal to distance.