Final answer:
An example of a unique word problem that can be modeled with a quadratic equation and an explanation of how to solve it.
Step-by-step explanation:
Here is an example of a unique word problem that can be modeled with a quadratic equation:
A ball is thrown into the air from the ground. The height of the ball is given by the equation h = -16t^2 + 48t, where h is the height in feet and t is the time in seconds. How long will it take for the ball to hit the ground?
The quadratic equation h = -16t^2 + 48t can be used to model the height of the ball as a function of time. In this equation, the term -16t^2 represents the effect of gravity on the ball, and the term 48t represents the initial velocity of the ball. When the ball hits the ground, the height h will be 0. By setting h = 0 and solving for t, we can determine the time it takes for the ball to hit the ground. Using the quadratic formula, we get t = 0 and t = 3. The ball will hit the ground at t = 3 seconds.
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