13 A car, initially at rest, is driven along a straight horizontal road.
The graph below is a simple model of how the car's velocity, \(v\) metres per second, changes with respect to time, \(t\) seconds.
\includegraphics[max width=\textwidth, alt={}, center]{1f887565-4587-4520-99d4-f3635b015525-18_494_1018_500_511}
13
- Find the displacement of the car when \(t = 45\)
13 - Shona says:
"This model is too simple. It is unrealistic to assume that the car will instantaneously change its acceleration."
On the axes below sketch a graph, for the first 10 seconds of the journey, which would represent a more realistic model.
[0pt]
[2 marks]
\includegraphics[max width=\textwidth, alt={}, center]{1f887565-4587-4520-99d4-f3635b015525-19_1769_1175_635_431}