1.1.10 Algebra and functions

The altitude of a research drone, $h (s)$ in metres, relative to a fixed marker is modelled by the polynomial function

h(s) = 2s^4 + ps^3 - 5s^2 + qs + 12

where $s\,$ is the horizontal displacement in decametres from the marker and $p\,$ and $q\,$ are constants.

At a displacement of $s = 2$ , the drone's altitude is 24 m. Show that $4 p + q = 0$ .

[3]

At a displacement of $s = - 1$ , the drone's altitude is 15 m. Determine the value of $p\,$ and the value of $q$ .

[4]

1.1.10 Algebra and functions Questions

The altitude of a research drone, $h (s)$ in metres, relative to a fixed marker is modelled by the polynomial function

h(s) = 2s^4 + ps^3 - 5s^2 + qs + 12

where $s\,$ is the horizontal displacement in decametres from the marker and $p\,$ and $q\,$ are constants.

At a displacement of $s = 2$ , the drone's altitude is 24 m. Show that $4 p + q = 0$ .

[3]

At a displacement of $s = - 1$ , the drone's altitude is 15 m. Determine the value of $p\,$ and the value of $q$ .

[4]