Specialist2026 NHT Exam 2 Section A · Q14CAS active1 mark

Displacement from acceleration as a function of velocity

A particle moves in a straight line such that its acceleration, $a$ m s $^{-2}$ , is given by $a = 2 + v$ , where $v$ m s $^{-1}$ is the velocity of the particle. At the origin, the velocity of the particle is 4 m s $^{-1}$ .

When the velocity of the particle is 6 m s $^{-1}$ , its displacement from the origin, in metres, will be

1 mark

6+2\log_e(4)

6-2\log_e(4)

2-2\log_e\left(\frac{3}{4}\right)

2+2\log_e\left(\frac{3}{4}\right)

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