What is the condition for which the distance travelled by a body is equal to its displacement

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Science for Class 9>Motion>Try to answer the Questions>Q 1

1. Describing Motion:

(i) When a body does not change its position with respect to time and a reference point, it is said to be at rest with respect to that reference point.

(ii) When the position of a body continuously changes with respect to the time and a reference point it is said to be in a state of motion.

(iii) Distance is the actual length of the path travelled by a moving body, irrespective of the direction in which the body moves. It is a scalar quantity.

(iv) Displacement is the shortest distance covered by a moving body from the point of reference in a specified direction.

(v) A body is said to be in uniform motion if it covers equal distance in equal intervals of time. 

(vi) A body is said to be in non-uniform motion if it covers unequal distances in equal intervals of time.

2. Rate of Motion:

(i) Speed is the distance travelled by a body in unit time. It is a scalar quantity and its SI unit is m s-1.

(ii) Velocity is the displacement covered by a body in a unit time in a specified direction. It is a vector quantity and its SI unit is m s-1.

3. Acceleration and Retardation:

(i) Acceleration is the rate of change of velocity. Its SI unit is m s-2.

(ii) Negative acceleration is called retardation. The velocity of a retarding body decreases with time.

4. Graphical Representation of Motion:

(i) The change in the position of an object with time can be represented on the distance-time graph adopting a convenient scale of choice.

(ii) The slope of distance-time graphs gives the speed.

(iii) The variation in velocity with time for an object moving in a straight line can be represented by a velocity-time graph.

(iv) The slope of a velocity-time graph gives acceleration.

(v) The area under the velocity-time graph gives the displacement. 

5. Equations of Motion:

(i) First equation of motion: v=u+at

(ii) Second equation of motion: s=ut+12at2

(iii) Third equation of motion: v2-u2=2as
Where u is the initial velocity, v is the final velocity; s is the distance covered, t is the time taken and a is the acceleration of the moving body.

6. Uniform circular motion:

(i) If an object moves in a circular path with uniform speed, its motion is called uniform circular motion. 

(ii) Uniform circular motion is an accelerated motion.

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Under what condition is the displacement of a body equal to the distance traveled by it?

If a body is moving in a straight line then the displacement of a body is equal to the distance travelled by it.

Concept: Distance and Displacement

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