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Physics-

General

Easy

Question

A particle moves along a parabolic path y = 9x² in such a way that the x component of velocity remain constant and has a value $fraction numerator 1 over denominator 3 end fraction text m end text text s end text to the power of negative 1 end exponent$ . The acceleration of the particle is

$\frac{1}{3} \overset{\land}{j} m s^{- 1}$
$3 \overset{\land}{j} m s^{- 2}$
$\frac{2}{3} \overset{\land}{j} m s^{- 2}$
$2 \overset{\land}{j} m s^{- 2}$

The correct answer is: $2 stack j with logical and on top text m end text text s end text to the power of negative 2 end exponent$

$y equals 9 x to the power of 2 end exponent$
$fraction numerator d y over denominator d x end fraction equals V subscript y end subscript equals 18 x V subscript x end subscript$
$A subscript y end subscript equals 18 V subscript X end subscript superscript 2 end superscript a n d A subscript x end subscript equals 0$
$A subscript y end subscript equals 18 x fraction numerator 1 over denominator 9 end fraction equals 2 m divided by s to the power of 2 end exponent$

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