A body makes three equal displacements each s with velocities v1 v2 v3 nbsp- average velocity of the body is- nbsp-

Dear student time to cover distance s with time t1 then nbsp;t1=sv1 time to cover distance s with time t2 nbsp;then nbsp;t2=sv2 time to cover distance s ...

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Byju's Answer

Standard IX

Physics

Distance-Time Graphs

a body makes ...

Question

a body makes three equal displacements each s with velocities v1 v2 v3 . average velocity of the body is??

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Solution

Dear student

time to cover distance s with time t₁ then $t_{1} = \frac{s}{v_{1}}$
time to cover distance s with time t₂ then $t_{2} = \frac{s}{v_{2}}$
time to cover distance s with time t₃ then $t_{3} = \frac{s}{v_{3}}$
So $t o t a l t i m e t o t r a v e l 3 s d i s p l a c e m e n t, t = \frac{s}{v_{1}} + \frac{s}{v_{2}} + \frac{s}{v_{3}} H e n c e t h e a v e r a g e v e l o c i t y = \frac{3 s}{\frac{s}{v_{1}} + \frac{s}{v_{2}} + \frac{s}{v_{3}}} = \frac{3 v_{1} v_{2} v_{3}}{v_{1} v_{2} + v_{2} v_{3} + v_{3} v_{1}}$

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a body makes three equal displacements each s with velocities v1 v2 v3 . average velocity of the body is??

Dear student time to cover distance s with time t1 then t1=sv1 time to cover distance s with time t2 then t2=sv2 time to cover distance s with time t3 then t3=sv3 So total time to travel 3s displacement, t =sv1+sv2+sv3Hence the average velocity=3ssv1+sv2+sv3=3v1v2v3v1v2+v2v3+v3v1