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Distance And Displacement - Practice Questions & MCQ

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

  • 16 Questions around this concept.

Solve by difficulty

A man of 50 kg mass is standing in a gravity free space at a height of 10m above the floor. He throws a stone of 0.5kg mass downwards with a speed of 2m/s. When the stone reaches the floor, the distance of the man above the floor will be:

The displacement 'x' (in meter) of a particle of mass 'm' (in kg) moving in one dimension under the action of a force, is related to time 't' (in sec) by t=\sqrt{x}+3. The displacement of the particle when its velocity is zero, will be 

The acceleration of the particles of linear motion changes a = 2s with the displacement(s), and the velocity of the particles is zero when the displacement is zero. Find the corresponding velocity-displacement equation:

 

Particles starting at the corners start moving along the diagonal of the cube with a constant speed of 1 m/s. Taking the angle as the origin, find the position of the particle after 1 second.

Concepts Covered - 1

Distance and displacement
  1. Position vector

  • Location of a point, in space, is an  important physical quantity which is also known as position vectors.

  • Representation of position vector

\vec{r}= x\hat{i}+y\hat{j}+z\hat{k}

  • Its magnitude is the distance between the initial point (tail) and the final point (head). 

(Generally we take initial point as origin)

  • Its direction is from the initial point and the final point. 

Magnitude of  r= \sqrt{x^{2}+y^{2}+z^{2}}

  • E.g. If\vec{A}= 3\hat{i}-4\hat{j}+2\hat{k} then its magnitude 

= \sqrt{(3)^{2}+(-4)^{2}+(2)^{2}}

= \sqrt{9+16+4}

a= \sqrt{29}

 

  1. Distance or Path length

  • Length of actual path between the initial and final positions of the body.

  • E.g. Distance travelled along circle for one complete rotation is 2\pi r

  • Tips of distance

  1. Distance is a scalar quantity.

  2. It is always positive.

  3. S.I. Unit \rightarrow meter (m).

  4. Dimension \left [ L \right ]

  5. Distance is depend on the path followed by body .  

  1. Displacement

  • Shortest path in between the initial and final position.

  • Tips for Displacement.

  1. Displacement is a vector quantity.

  2. It can be positive, zero and negative.

  3. Displacement is independent of path.

  4.  S.I. unit    \rightarrow Meter (m)

  5. Dimension  (L)

  6. Displacement \leqslant Distance.

  •   E.g.  For Semi circle

     Distance=\pi r  while Displacement =2\, r

Study it with Videos

Distance and displacement

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