A particle moves along a straight line such that its displacement ' x ' varies with time ' t ' as x=\alpha t^{3}+\beta t^{2}+\gamma, where \alpha, \beta, \gamma are constants. V_{1} is the average velocity of the particle during its journey between t=1 {s} and t=3 {s}. {V}_{2} is the instantaneous velocity of the particle at t=3 {s}. The ratio { {V}_{1}}/{ {V}_{2}} is

Correct Answer is : 13α+4β27α+6β

\frac{27 \alpha+9 \beta}{26 \alpha+6 \beta}

\frac{9 \alpha+3 \beta}{18 \alpha+4 \beta}

\frac{13 \alpha+4 \beta}{27 \alpha+6 \beta}

\frac{26 \alpha+8 \beta}{9 \alpha+3 \beta}

TS EAMCET 19-July-2022 Shift 1 Solved Paper

Section: Physics

Question : 83 of 160

Marks: +1, -0

A particle moves along a straight line such that its displacement ' x ' varies with time ' t ' as x=αt3+βt2+γ, where α,β,γ are constants. V1 is the average velocity of the particle during its journey between t=1s and t=3s. V2 is the instantaneous velocity of the particle at t=3s. The ratio ‌

‌
27α+9β
26α+6β
‌
9α+3β
18α+4β
‌
13α+4β
27α+6β
‌
26α+8β
9α+3β

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