(a)[1]
State the meaning of work done.
(b)[2]
Use the result from (a) to work out the SI base units of power.
(c)
The maximum useful output power $P$ of a car moving along a horizontal road is given by $P = v^3 b$, where $v$ is the car's maximum speed and $b$ is a constant. For the car, $P = 84\,\text{kW} \pm 5\%$ and $b = 0.56 \pm 7\%$ in SI units.
(c(i))[2]
Calculate $v$.
(c(ii))[2]
Determine the absolute uncertainty in $v$.