4.03: Kinematics with exponentials

0606/22/M/J/26 — Question 9 · 7 marks

A particle has displacement \(s=\mathrm e^{4t}-10\mathrm e^{2t}+9\) at time \(t\geqslant0\).
(a)
Find the time when the velocity is stationary.
[5]
(b)
Find the acceleration when \(t=\ln2\).
[2]