Engineering Colleges Accepting JEE Main rank 65,000 to 80,000

Speed And Velocity - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Speed and velocity is considered one of the most asked concept.

  • 36 Questions around this concept.

Solve by difficulty

A body moving along a straight line travels one-third of the total distance with a speed of 3m{{s}^{-1}}. The remaining distance is covered with a speed of 4m{{s}^{-1}} for the half time and 5m{{s}^{-1}} for the other half-time. The average speed during the motion is :

The distance travelled by a particle is related to time t as x= 4t^{2} . The velocity of the particle is :

The distance travelled by an object in time t is given bys = (2.5)t^2. The instantaneous speed of the object at t =5 s will be :

The position of a particle related to time is given by x=(5t^{2}-4t+5)m .  The magnitude of the velocity of the particle at t = 2s will be :

Concepts Covered - 1

Speed and velocity

I.   Speed

  • Rate of change of distance with time.

  • Formula-

           Speed = \frac{Change\, in \, distance}{change \, in\, time}

                   v=\frac{distance }{time}

 

  • Tips of Speed-

  1. S.I. unit\rightarrow ms^{-1} or meters per second.

  2. Dimensions=LT^{-1}

  3. Speed is a scalar quantity.

  •  E.g: A body covers a distance of 18m in 1 sec 

Using the formula of speed. v= \frac{distance}{time}= \frac{18m}{1s}\Rightarrow 18m/s

 

II .   Average Speed and Instantaneous Speed

  

  1.  Average Speed-

  • Amount of total distance covered in total time.

  • Formula-

Average\, speed =\frac{total \, distance\, covered}{total \, time\, taken}, v_{av}= \frac{s}{t}

  •     E.g A body covers a total distance of 50 m with variable speed in 5 sec.

                           v_{av}= \frac{s}{t}

                    \Rightarrow \frac{50m}{5s}= 10m/s

                    Average Speed = 10 m/s

  •    Tips for average speed-

If an object or body covers s1 distance in t1 time and s2 distance in t2 time then average speed is calculated by the

Formula- V_{av}= \frac{s_{1}+s_{2}}{t_{1}+t_{2}}

 

  1.  Instantaneous Speed-

  • It is the speed at that particular instant or small interval of time.

  • Formula-

 v_{inst}= \lim_{\Delta t\rightarrow 0}\frac{\Delta x}{\Delta t}

 

 

III.   Velocity

  • Rate of change of displacement with time.

  • Formula-

V=\frac{displacement}{time} 

  • Tips For velocity-

  1. S.I. unit \rightarrow  m/s

  2. Dimensions-LT^{-1}

  3. Velocity is a vector quantity. 

  4. Velocity is also called speed in a definite (particular) direction.

 

IV.    Average Velocity  and Instantaneous Velocity

  1. Average Velocity-

  • Amount of total displacement covered in total time.

  • Formula-

Average \ \ Velocity=\frac{Total \ \ Displacement}{Total \ \ time \ \ taken}\vec{V}_{avg}=\frac{\vec{S}_{net}}{t}

 

  1.   Instantaneous Velocity-

  • It is Velocity at that particular instant or small interval of time.

  • Formula-

 \vec{V}_{inst}= \lim_{\Delta t\rightarrow 0}\frac{\vec{\Delta x}}{\Delta t}

 

 

V.     Uniform motion and Non-uniform motion

 

  1. Uniform motion-

  • If equal distance/displacement is covered in equal intervals of time, how small these intervals may be.

  • Uniform speed-If equal distances are covered in equal intervals of time.

  • Uniform velocity-If equal displacement are covered in equal intervals of time.

  • Uniform speed and Uniform velocity is the same as uniform motion.

  • For uniform motion along a straight line, the average and instantaneous velocities have the same values.

  1. Non-uniform motion

  •  If equal distance/displacement is covered in unequal intervals of time.

  • Non-uniform speed-If equal distances are covered in unequal intervals of time.

  • Non-uniform velocity-If equal displacement are covered in unequal intervals of time.

  • Non-uniform speed and Non-uniform velocity  is same as Non uniform motion

Study it with Videos

Speed and velocity

"Stay in the loop. Receive exam news, study resources, and expert advice!"

Get Answer to all your questions

Back to top