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Suppose a particular star is projected from a firework at a starting height of 520 feet with an initial upward velocity of 72ft/sec. The equation h= -16t^2+72t+520 gives the star's height in feet at time t in seconds

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By finding the vertex of the parabola, we will see that the firework reaches the maximum height in 2.25 seconds.

How long will take to reach the maximum height of the path?

The height of the firework is given by:

h = -16*t^2 + 72*t + 520

This is a quadratic equation, the maximum will be at the vertex.

Remember that for a quadratic equation:

y = a*x^2 + b*x + c

The x-value of the vertex is:

x = -b/2a.

Then for our equation:

h = -16*t^2 + 72*t + 520

The vertex will be at:

t = -72/(2*-16) = 2.25s

This means that the firework will reach the maximum height in 2.25 seconds.

If you want to learn more about quadratic functions, you can read:

https://brainly.com/question/1214333

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