Question

Q8.An object moves from point A to point B to point C, then back to point B and then to point C along the line shown in the figure below.

a)Find the distance covered by the moving object.

b)Find the magnitude and direction of the displacement of the object.

Answer 1

Answer:

Explanation:

total distance =  5+4+4+4 =17 km

dispalcement is shortest distance between initial and final point  = 9 km

Answer 2

Given:

Distance from A to B = 5km

Distance from B to C = 4km

Movement of object = A to B to C + C to B + B to C

Movement is in straight line

To find:

(a) Distance covered by object

(b) Displacement of object

Calculation:

What is distance?

• Distance is referred to the total path or way covered by any object in its entire motion.
• Distance comes in the list of scalar quantities.
• It only has magnitude.

What is displacement?

• Displacement is referred as the straight line joining the start and end points of any body's motion.
• It is independent of the total path.
• It is a vector quantity and has magnitude as well as direction.

In the given figure:

A to B to C = (5+4) = 9 km

C to B = 4 km

B to C = 4 km

Distance covered = total path covered in its motion =  A to B to C + C to B + B to C = 9 + 4 + 4 = 17 km

Initial point of body = A = 0 km

Final point of body = C = 9 km

Displacement of the body = A to C = (9 - 0) km= 9 km

Answer:

Distance travelled = 17 km

Displacement of body = 9 km towards right