Distance and Displacement
Distance and Displacement: Overview
This topic covers concepts such as Displacement of Body and Distance as Path Length etc.
Important Questions on Distance and Displacement
The displacement of particle moving in one dimension, under the action of a constant force is related to the time by the equation where is in meters and in seconds. Find the displacement of the particle when its velocity is zero.

A particle moves in a circle of radius Find its displacement and the distance covered for half the period of its revolution.

A boy moves from A to B through , B to C through and again from C to D through . Find his displacement.

A particle moving along the path , from to . Then the distance travelled by the particle is

A disc is rolling without slipping on a surface. The radius of the disc is At the top most point on the disc is as shown in figure. When the disc completes half of its rotation, the displacement of point from its initial position is

Two particles move from A to C and A to D on a circle of radius R and diameter AB. If the time taken by both particles are the same, then the ratio of magnitudes of their average velocities is

In one second, a particle goes from point A to B moving in along circle shown in figure. The magnitude of its average velocity is

If position of a particle is , find distance and displacement at .

A body is moving along the circumference of a circle of radius R and completes half of the revolution. Then, the ratio of the displacement to distance is

An insect can crawl on the floor. If it starts crawling from one corner of a cubical room of slde '' Minimum distance it would crawl to raech the furthermost corner in the room.

A frog takes leaps in forward direction and leaps backward. A pot hole is a head of the frog. If the distance covered in leap is . Find the distance travelled by frog before it falls in the pothole.

An aeroplane is flying from city to city along path . The path is a circular arc whose centre coincides with the centre of the Earth. Another aeroplane is flying along path from to . The path is circular arc whose centre is at is the centre of the Earth. Then,

A person runs along a circular path of radius . If he completes half of the circle find the magnitude of the displacement vector. How far the person ran?

Let and be the positions of an object at time and . Then, its displacement, denoted by A, in time , is given by the difference between the C and D position.
Here A,B,C and D refer to

The velocity-time graph of a particle in linear motion is shown. Both and are in SI units. What is the displacement of the particle from the origin after second.

When a car moves towards east then towards south , later on towards west , finally towards north , the displacement of the car in magnitude is

The speed of particle moving along a straight line becomes half after every next second (in every on second speed is constant). The initial speed is . The total distance travelled by the particle will be

A body starting at a point, say A, reaches, say B, ahead in a straight line and returns back to A. Find its net displacement.

In a desert, a beetle 's motion sends fast longitudinal pulses, and slower transverse pulses. , along the sand's surface. The sand scorpion has eight legs: spread roughly in a circle of diameter, intercepts the faster longitudinal pulses earlier than the slower transverse pulse. The pray is located at a distance of:

The displacement of a particle moving in one dimension under the action of a constant force is related to time by the equation , where is in meters and is in seconds. What is the displacement of the particle from to ?
