a particle moving with a initial velocity u and passes succesfully over 2 halves of a given distance with acceleraton f and f1 respectively.Prove that the final velocity is equal to the initial velocity if the entire distance was traversed with a uniform accleration of (f+f1)/2

Question

Vikas TU · Answer

Dear Student,

Let the half distance = x

For the first part travel

v2=u2+2xfx/2

For the second part travel,

vf2=u2+2fx+2f1x

=>vf=√(u^2+2fx+2f1x)

when avg acceleration is (f+f1)/2

vf2=u2+2(f+f1)x2x/2

=> vf=√(u^2+2fx+2f1x)

Hence equal. Proved.

Cheers!!

Regards,

Vikas (B. Tech. 4^th year
Thapar University)

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a particle moving with a initial velocity u and passes succesfully over 2 halves of a given distance with acceleraton f and f1 respectively.Prove that the final velocity is equal to the initial velocity if the entire distance was traversed with a uniform accleration of (f+f1)/2

a particle moving with a initial velocity u and passes succesfully over 2 halves of a given distance with acceleraton f and f1 respectively.Prove that the final velocity is equal to the initial velocity if the entire distance was traversed with a uniform accleration of (f+f1)/2

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a particle moving with a initial velocity u and passes succesfully over 2 halves of a given distance with acceleraton f and f1 respectively.Prove that the final velocity is equal to the initial velocity if the entire distance was traversed with a uniform accleration of (f+f1)/2

a particle moving with a initial velocity u and passes succesfully over 2 halves of a given distance with acceleraton f and f1 respectively.Prove that the final velocity is equal to the initial velocity if the entire distance was traversed with a uniform accleration of (f+f1)/2

1 Answers

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