Question 1

Paper 1Medium6 marks

A fountain jet is modelled, for 0≤x≤60\leq x\leq 6 by

h=ax2+bx+c,h=ax^2+bx+c,

where xx is the horizontal distance from the nozzle, in metres, and hh is the height above the ground, in metres. The model passes through the points shown.

xx036
hh1.204.805.10
(a)

Use technology to determine the values of aa bb and cc giving each to at least three significant figures.

[3]
(b)

Hence determine the horizontal distance(s), in the interval 0≤x≤60\leq x\leq 6 at which the model gives h=3.00h=3.00 Give your answer to the nearest 0.010.01 m.

[3]

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