(a)[1]
What does linear momentum mean?
(b(i))[1]
A car with mass $1800\,\text{kg}$ is travelling in a straight line. Fig. 2.1 shows how the car’s momentum $p$ changes with time $t$. Calculate the highest speed attained by the car.
(b(ii))[2]
Calculate the car’s maximum kinetic energy.
(b(iii))[2]
Show that the car’s acceleration at time $t = 4.0\,\text{s}$ is $5.0\,\text{m s}^{-2}$.
(b(iv))[2]
Determine the distance travelled by the car between $t = 0$ and $t = 12.0\,\text{s}$.
(c)[3]
On Fig. 2.2, sketch how the car’s acceleration $a$ varies with time $t$ from $t = 0$ to $t = 12.0\,\text{s}$ in (b).