IB Maths AI SL AI 1.3 practice question

Paper 1Medium7 marks

A sensor records the height $h$ in metres, of a test rocket $t$ seconds after launch. For $0\leq t\leq 6$ its height is modelled by

h(t)=at^2+bt+c,

where $a$ $b$ and $c$ are constants.

$t$ (s)	0	2	5
$h$ (m)	1.2	7.8	6.7

(a)

Use a graphic display calculator to find $a$ $b$ and $c$ Show the three equations used.

[4]

(b)

Find the time or times, to three significant figures, when the rocket is at a height of $6$ m. Give your answer in seconds.

[3]