Question
A toy rocket is fired, from a platform, vertically into the air, its height above the ground after $t$ seconds is given by $s(t)= a t ^2+ b t + c$, where $a , b , c \in R ; a \neq 0$ and $s(t)$ is measured in
metres. After $1 0$ second, the rocket is $1 6 ~ m$ above the ground; after $2 0$ seconds, $2 2 ~ m$; after 30 seconds, $2 5$ m.
(i) Write down a system of three linear equations in terms of $a , b$ and $c$.
(ii) Hence find the values of $a , b$ and $c$, using matrix method.
metres. After $1 0$ second, the rocket is $1 6 ~ m$ above the ground; after $2 0$ seconds, $2 2 ~ m$; after 30 seconds, $2 5$ m.
(i) Write down a system of three linear equations in terms of $a , b$ and $c$.
(ii) Hence find the values of $a , b$ and $c$, using matrix method.