Question

The height y, in feet, of a football x seconds after it is thrown is modeled by the equation y = â€"16x2 24x 1. What information does the zero of the equation 6 = â€"16x2 24x 1 represent? the height of the ball after 6 seconds when the ball is 6 ft above the ground the initial upward velocity of the ball the horizontal distance traveled by the ball when it is 6 ft above the ground.

Answer 1

The zero of the equation $6 =- 16x^2+24x+1$ represents the moment when the ball is 6 ft above the ground.

Given that,

The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,

$\rm y=- 16x^2+24x+1$

We have to determine,

What information does the zero of the equation $6 =- 16x^2+24x+1$represent?

According to the question,

In the quadratic equation for the ball's height, it is found that the zero of the equation represents,

$\rm 6 =- 16x^2+24x+1$

The instant of the time x is when the ball is 6 ft above the ground.

The height of the ball is y(x), after x seconds, is modeled by:

$\rm y =- 16x^2+24x+1$

The equation given is,

$\rm y =- 16x^2+24x+1$

In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.

Hence, These points represent the moment when the ball is 6 ft above the ground.

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