A particle moves in the \(x\) direction according to the equation \(x(t)=b t^{3}+c t^{2}+d\), where \(b=4.0 \mathrm{~m} / \mathrm{s}^{3}\), \(c=-10 \mathrm{~m} / \mathrm{s}^{2}\), and \(d=20 \mathrm{~m}\).

(a) What are its instantaneous velocity and instantaneous acceleration at \(t=2.0 \mathrm{~s} ?(b)\) What are its average velocity and average acceleration in the interval \(t=2.0 \mathrm{~s}\) to \(t=5.0 \mathrm{~s}\) ?