Velocity-Time Graph For Non-Uniform Accelerated Motion


 
 
Concept Explanation
 

Velocity-Time Graph For Non-Uniform Accelerated Motion

(iii) Velocity-Time Graph for Non-uniform Accelerated Motion

Velocity-time graph for non-uniform accelerated motion is shown :

It shows that the variation of velocity of a body (or object) varies non-uniformly with time.

Example: The velocity -time graph of an ascending passenger lift is shown iin figure below. What is the acceleration of the lift

(i) during the first two seconds?

(ii) between 2nd and 10th second?

(iii) during the last two seconds?

SOLUTION

  (i) Case I

large Delta v=4-0=4m/s,

large Delta t=2-0=2s,

large a_{1}=?

large therefore a_{1}=frac{Delta v}{Delta t}=frac{4}{2}=2;;;m/s^{2}

(ii) Case II

large Delta v=4.6-4=0.6m/s, Delta t=10-2=8s,a_{2}=?

large because a_{2}=frac{Delta v}{Delta t}

           large =frac{0.6}{8}=0.075;m/s^{2}

(iii) Case III

large Delta v=0-4.6=-4.6m/s,Delta t=12-10=2s,a_{3}=?

large therefore a_{3}=frac{Delta v}{Delta t}=frac{-4.6}{2}=-2.3;m/s^{2}

Negative sign shown retardation.

 

 
 


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