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Q.

The displacement of a particle moving in a straight line depends on time as x = αt3 + ßt2 + γt . The ratio of initial acceleration to its initial velocity depends

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a

only on α and γ

b

only on ß and γ

c

only on α and ß

d

only on α

answer is B.

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Detailed Solution

v=3αt2+2βt+γ⇒vt=0=vi=γ⇒a=6αt+2β⇒at=0ai=2β⇒∴viai=γ2β
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The displacement of a particle moving in a straight line depends on time as x = αt3 + ßt2 + γt . The ratio of initial acceleration to its initial velocity depends