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-BARSIC- [3]
2 years ago
13

A rocket is shot straight into the air at an initial velocity of 70 feet/second. The height of the rocket after t seconds is rep

resented by the formula h=70t−5t^2. What is the maximum height the rocket reaches?
Mathematics
1 answer:
Monica [59]2 years ago
6 0

By making use of properties of <em>quadratic</em> equations, we conclude that the <em>maximum</em> height of the rocket is 245 feet.

<h3>What is the maximum height of the rocket?</h3>

In this problem we must obtain the <em>maximum</em> height reached by the rocket and based on the <em>quadratic</em> equation described in the statement. There is an algebraic approach to get such information quickly. First, we modify the polynomial into an <em>implicit</em> form:

- 5 · t² + 70 · t - h = 0

Graphically speaking, <em>quadratic</em> equations are parabolae and, in particular, the <em>maximum</em> height of the rocket is part of the vertex of the parabola. Then, the discriminant of the quadratic equation is:

70² - 4 · (- 5) · (- h) = 0

4900 - 20 · h = 0

h = 245

By making use of properties of <em>quadratic</em> equations, we conclude that the <em>maximum</em> height of the rocket is 245 feet.

To learn more on quadratic equations: brainly.com/question/17177510

#SPJ1

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