Specialist2023 Exam 1 · Q3Tech-free3 marks

Acceleration from velocity as a function of position

A particle moves along a straight line. When the particle is $x$ m from a fixed point $O$ , its velocity, $v$ m s $^{-1}$ , is given by

$v = \frac{3 x + 2}{2 x - 1}$

Find the acceleration of the particle, in m s $^{-2}$ , when $x = 2$ .

2 marks

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Find the value that the velocity of the particle approaches as $x$ becomes very large.

1 mark

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