Specialist2026 NHT Exam 2 Section A · Q13CAS active1 mark

Changes of direction for a damped oscillating particle

A particle moves along a straight line. The position of the particle from a fixed point is given by $x(t) = e^{-t}\sin(t)$ for $0 \le t \le 3\pi$ .

The number of times the particle changes direction and the duration of time between successive changes in direction are, respectively,

1 mark

2, \pi

2, 2\pi

3, \pi

3, 2\pi

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