Specialist2024 Exam 2 Section A · Q12CAS active1 mark

Acceleration from exponential position function

The position, $x$ metres, of a particle moving in a straight line from a fixed origin $O$ at time, $t$ seconds, is given by $x = e^{(k-1)t}$ , where $k > 1$ .

The acceleration of the particle, in m s $^{-2}$ , when $x = k + 1$ is

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k^2 - 1

(k^2 - 1)(k + 1)

(k^2 - 1)(k - 1)

(k - 1)^2

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