During a test, the velocity of a rail vehicle is modelled by v=(16+6t−t2) m s−1v=(16+6t-t^2)\text{ m s}^{-1}v=(16+6t−t2) m s−1 for t≥0t\geq0t≥0.
Find the first positive time at which the particle is instantaneously at rest.
Find the magnitude of the acceleration at this time.
Find the distance travelled in the interval 0≤t≤50\leq t\leq50≤t≤5.