Determine the value of $R$.
The car keeps moving faster and passes point $B$ on the road with speed $29.9\,\text{m s}^{-1}$. It later goes through point $C$. Determine the acceleration of the car at $B$, giving the answer in $\text{m s}^{-2}$ correct to $3$ decimal places.
Show that, while the car’s speed is increasing, it cannot reach $30\,\text{m s}^{-1}$.
Explain why the speed of the car is approximately constant between $B$ and $C$.
State a value of the approximately constant speed, and the maximum possible error in this value at any point between $B$ and $C$.
The work done by the car’s engine while travelling from $B$ to $C$ is $1200\,\text{kJ}$. Assuming the car’s speed is constant from $B$ to $C$, find the approximate time taken for the car to travel from $B$ to $C$.
By assuming the car’s speed is constant from $B$ to $C$, find an approximation for the distance $BC$.