How do i measure the bounce height of a tennis ball released from a height of 150 cm?

Mathematics

1 answer:

Naya [18.7K]2 years ago

7 0

Answer:

You can use a slow motion camera and see clearly. You should probably put a meter ruler in the background so you can check the height

Step-by-step explanation:

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First we find the vertex of parabola $f(x)=-12 x^{2} +7$

The vertex of parabola is $( \frac{-b}{2a},f( \frac{-b}{2a}))$
Here,
b = coefficient of x term
a = coefficient of x² term

For given parabola, b = 0 , a = -12

So,
$\frac{-b}{2a}= \frac{0}{-24} =0$

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Thus the vertex of parabola is (0, 7)

To find another point on parabola, substitute x by 1.

$f(1)=-12( 1^{2}) +7=-12+7=-5$

So the second point on parabola is (1,-5)

The plot of parabola is shown in image below: