Distance and Displacement

IMPORTANT

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

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The displacement x of particle moving in one dimension, under the action of a constant force is related to the time t by the equation t=x+3 where x is in meters and t in seconds. Find the displacement of the particle when its velocity is zero.

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

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A boy moves from A to B through 5 cm, B to C through 12 cm and again from C to D through 5 cm. Find his displacement.

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A particle moving along the path y=x2, from x=0 m to x=2 m. Then the distance travelled by the particle is

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A disc is rolling without slipping on a surface. The radius of the disc is R. At t=0, the top most point on the disc is A as shown in figure. When the disc completes half of its rotation, the displacement of point A from its initial position is

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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

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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

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If position of a particle is x= 5t2-20t+2, find distance and displacement at t= 4 s.

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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 

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

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A frog takes 5 leaps in forward direction and 2 leaps backward. A pot hole is 22 cm a head of the frog. If the distance covered in 1 leap is 1 cm. Find the distance travelled by frog before it falls in the pothole.

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An aeroplane is flying from city A to city B along path 1 . The path 1 is a circular arc whose centre coincides with the centre of the Earth. Another aeroplane is flying along path 2 from A to B. The path 2 is circular arc whose centre is at C.O is the centre of the Earth. Then,

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A person runs along a circular path of radius 5 m. If he completes half of the circle find the magnitude of the displacement vector. How far the person ran?

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Let x1 and x2 be the positions of an object at time t1 and t2. Then, its displacement, denoted by A, in time Δt =B, is given by the difference between the C and D position.
Here A,B,C and D refer to 

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The velocity-time graph of a particle in linear motion is shown. Both v and t are in SI units. What is the displacement of the particle from the origin after 8 second.

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When a car moves towards east 50 m then towards south 50 m, later on towards west 50 m, finally towards north 50 m, the displacement of the car in magnitude is

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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 v2. The total distance travelled by the particle will be

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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.

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In a desert, a beetle 's motion sends fast longitudinal pulses, vL=150 ms-1 and slower transverse pulses. vs=50 ms-1, along the sand's surface. The sand scorpion has eight legs: spread roughly in a circle of 5cm diameter, intercepts the faster longitudinal pulses 4.0 ms earlier than the slower transverse pulse. The pray is located at a distance of:

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The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t=x+3, where x is in meters and t is in seconds. What is the displacement of the particle from t=0 s to t=6 s?