Question

2. An object moves from point A to point C along the rectangle shown in the
figure below.
A. Find the distance covered by the moving object.
B. Find the magnitude of the displacement of the object​

Answer 1

Given: An object moves from point A to point C along the rectangle.

To find: Distance covered by the moving object, magnitude of the displacement of the object​.

Solution:

• As the figure is not given, so lets consider the rectangle ABCD.

• Let the length of the rectangle be x and the breadth of the rectangle be y.

• So, according to first question, the distance covered by object in moving whole rectangle will be:

         = length + breadth

         = l+ b

• And, according to second question, displacement of the object from moving A to C will be :

         =√length² + breadth²

         =√l² + b²

Answer:

           The distance covered by the moving object is  l+ b

           The magnitude of the displacement of the object​ is √l² + b²

Answer 2

a)Distance = AB + BC = 5 + 3 = 8 km

b) Initial point is A and the final point is C, hence the magnitude of the displacement is equal the diagonal AC of the rectangle and is calculated using Pythagora's theorem as follows

AC^2 = AB^2 + BC^2 = 5^2 + 3^2 = 25 + 9 = 34

AC = √34 km

Hope it is helpful