Ten questions. The result tells you which lessons you may skip.
Which expression equals \(\cos\theta\) for every angle \(\theta\)?
The largest value of \(8\sin\theta + 6\cos\theta\) is
The derivative of \(\sin 4t\) with respect to \(t\) is
A cycle moves along a straight road at a steady speed. Seen from the road, the motion of a point on the rim of its wheel is
Which acceleration describes simple harmonic motion? Positions are in metres and accelerations in m/s².
A particle in SHM with amplitude \(3\,\text{cm}\) moves for two complete periods. The distance it travels is
A particle moves as \(x = 0.1\sin(10\pi t)\), in SI units. Its period is
A particle in SHM is written as \(x = A\sin(\omega t + \varphi)\). At \(t = 0\) it passes the mean position moving towards \(-x\). Its initial phase is
A particle performs SHM with amplitude \(5\,\text{cm}\) and \(\omega = 2\,\text{rad/s}\). Its speed at \(x = 4\,\text{cm}\) is
A particle in SHM of period \(T\) starts at the mean position. The time it takes to reach \(x = A/2\) is