Question

Differentiate between distance and displacement with example, can displacement be greater than distance.​

Answer 1

Distance:

1) The actual path covered during motion of a body is distance

2) It is needed not to be shortest path between 2 points

3) it is the scaler quantity as it does not make any particular direction.

Displacement:

1)The change in position made during motion of a body is Displacement

2)It is the shortest path between initial and final point position.

3)It is a vector quantity as it is always directed

differentiate with example:

Rohan travels total 10 km . He take first travel 5 km then he turns And travel 5 km reversly and same at initial point from where he started traveling

Explanation:

So here 10 km is distance

and 5 km is Displacement.

No Displacement can not be greater than it distance either it could equal or lesser than distance.

Answer 2

Answer:

• Answer:Difference Between Distance and Displacement

• Answer:Difference Between Distance and DisplacementDistance is a scalar quantity whereas displacement is a vector quantity.

• Answer:Difference Between Distance and DisplacementDistance is a scalar quantity whereas displacement is a vector quantity.Distance is the total path covered by the body and displacement is the shortest path covered by the body

• Answer:Difference Between Distance and DisplacementDistance is a scalar quantity whereas displacement is a vector quantity.Distance is the total path covered by the body and displacement is the shortest path covered by the bodyThe distance can never be zero but displacement can be Distance can never be negative and displacement can be both i.e., positive or negative.

• Answer:Difference Between Distance and DisplacementDistance is a scalar quantity whereas displacement is a vector quantity.Distance is the total path covered by the body and displacement is the shortest path covered by the bodyThe distance can never be zero but displacement can be Distance can never be negative and displacement can be both i.e., positive or negative.Distance doesn’t decrease with time whereas displacement decreases.

• Answer:Difference Between Distance and DisplacementDistance is a scalar quantity whereas displacement is a vector quantity.Distance is the total path covered by the body and displacement is the shortest path covered by the bodyThe distance can never be zero but displacement can be Distance can never be negative and displacement can be both i.e., positive or negative.Distance doesn’t decrease with time whereas displacement decreases. Distance is always equal to or greater than the displacement.

Solved Problems

Example 1: A body is moving in a straight line. The distances from the origin are shown with time in the given figure. A, B, C, D & E represent different motion.

Find the displacement in 4 sec.

Find the total distance travelled.

Find the displacement in the last 2 seconds.

Solution:

The displacement in 4 sec = 40 m

Total distance travelled by the body is

80 + 80 = 160m

Because the maximum distance travelled by the body is 80m and then it comes back to its initial position.

Displacement in the last 2 sec = -80m

Example 2: Closed path is travelled by a body. Point A, B, C & D represents the path. Find the displacement and total distance travelled by the body.

Solution: Distance travelled by the body is

Distance = 2πr

Where r= radius of the body = 3km

Distance = 2 π 3 = 6π km

Displacement of the body is Zero because the body started from point A and came back to its initial position A.

Example 3: Find the displacement and distance travelled by the body if the body moves from point A to B to C to D.

Solution:

Distance travelled is

= ¾ (2πr)

= ¾ (2π3)

= 4.5π km

Since ¾ is the portion travelled by the body so that’s why distance travelled is 4.5π km

Displacement -

By applying Pythagoras Theorem on the given figure we get,

AD2 = AO2 + OD2

=32+32= 18

= AD=32–√km