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Question

the initial velocity of particle is u (a=0) and the accelaration is given by bt3/2. which of the following relationship is valide????
1) v= u+bt3/2
2) v= u+3bt3/2
3) v= u+2/5bt5/2
4) v= u+bt5/2
the answer is 3th option.....
how????????

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Solution

a=bt^3/2
v=intregral (A)
v=2/5bt^5/2
total v=u+v
hence the solution

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