Specialist2023 Exam 2 Section A · Q12CAS active1 mark

Velocity from acceleration depending on velocity

The acceleration, $a$ m s $^{-2}$ , of a particle that starts from rest and moves in a straight line is described by $a = 1 + v$ , where $v$ m s $^{-1}$ is its velocity after $t$ seconds.

The velocity of the particle after $\log_e(e + 1)$ seconds is

1 mark

e

e + 1

e^2 + 1

\log_e(1 + e) + 1

\log_e\left(\log_e(1 + e) - 1\right)

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