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AIPMT> The relation between position x and time ...

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The relation between position x and time t are given below for a particle moving along a straight line. Which of the following equations represent uniformly accelerated motion? {alpha and beta are positive constant}

Rayyan Khan , 7 Years ago

Grade 12th pass

1 Answers

Eshan

Last Activity: 6 Years ago

Dear student,

For a uniformly accelerated motion, acceleration must be a constant.

In the forth option,

$\alpha t=\sqrt{\beta +x}$
$\implies x=\alpha^2t^2-\beta$
$\implies v=\dfrac{dx}{dt}=2\alpha^2 t$
$\implies a=\dfrac{dv}{dt}=2\alpha^2 =constant$
Hence option (4) is the answer.

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