| Exam Board | AQA |
| Module | Further Paper 1 (Further Paper 1) |
| Year | 2024 |
| Session | June |
| Topic | Parametric equations |
15 A curve is defined parametrically by the equations
$$\begin{array} { l l }
x = \frac { 3 } { 2 } t ^ { 3 } + 5 &
y = t ^ { \frac { 9 } { 2 } } & ( t \geq 0 )
\end{array}$$
Show that the arc length of the curve from \(t = 0\) to \(t = 2\) is equal to 26 units.