15 A particle is moving in a straight line with velocity \(\mathrm { vm } \mathrm { s } ^ { - 1 }\) at time \(t\) seconds as shown by the graph below.
\includegraphics[max width=\textwidth, alt={}, center]{27339c29-c4a1-480c-b882-930f8dacc7af-22_1155_1189_424_424}
15
- Use the trapezium rule with four strips to estimate the distance travelled by the particle during the time period \(20 \leq t \leq 100\)
15
- Over the same time period, the curve can be very closely modelled by a particular quadratic.
Explain how you could find an alternative estimate using this quadratic.
[0pt]
[1 mark]