Ten questions. The result tells you which lessons you may skip.
What is \(\int x^3\,dx\)?
A body has velocity \(v = 2t\) and is at \(x = 3\,\text{m}\) when \(t = 0\). Its position is
A body starts from rest with acceleration \(a = 6t\), in m/s² with \(t\) in s. Its velocity at \(t = 2\,\text{s}\) is
A cyclist has \(v = 2t\), in m/s. The displacement from \(t = 0\) to \(t = 3\,\text{s}\) is
A ball rolls up a slope and back with \(v = 6 - 2t\) m/s. From \(t = 0\) to \(t = 5\,\text{s}\), which statement is correct?
One mole of an ideal gas at \(300\,\text{K}\) doubles its volume at that temperature. The work it does is \(nRT\) times
What is \(\int \cos 3x\,dx\)?
A rod of length \(L\) has linear density \(\lambda = kx\), zero at \(x = 0\). Its centre of mass is at
The mains voltage is a sine of peak \(311\,\text{V}\). Its rms value is
The solution of \(dN/dt = -\lambda N\) with \(N = N_0\) at \(t = 0\) is