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Algebra, STD2 A4 2015 HSC 29e

A diver springs upwards from a diving board, then plunges into the water. The diver’s height above the water as it varies with time is modelled by a quadratic function. Graphing software is used to produce the graph of this function.
 

Explain how the graph could be used to determine how high above the height of the diving board the diver was when he reached the maximum height.   (2 marks)

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`1.2\ text(m)`

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`text(We can calculate the height of the board by)`

♦♦ Mean mark 19%.

`text(finding the)\ ytext(-value at)\ t = 0,\ text(which is 8 m.)`

`text(The diver’s maximum height occurs at)\ t=0.5,`

`text(which is approximately 9.2 m.)`
 

`:.\ text(Maximum height above the board)`

`= 9.2-8= 1.2\ text(m)`

Filed Under: Exponential/Quadratic (Projectile), Non-Linear: Exponential/Quadratics, Quadratic Relationships Tagged With: Band 6, smc-6922-40-Interpret Intercept, smc-830-20-Quadratics

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