IB Maths AI SL AI 1.3 Exponents, logarithms and equations questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

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Question 1

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]

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