The equation $h = 16 t^{2} + 47 t + 3$ $h=16t^2+47t+3$ gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked. What is the maximum height the football reaches?

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The equation $h = 16 t^{2} + 47 t + 3$ $h=16t^2+47t+3$ gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked. What is the maximum height the football reaches?

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Answer 1 · 2016-07-03T23:17:45

Wrong equation.

Explanation:

The equation h = 16t^2 + 47t + 3, with a = 16 > 0, wrongly represents
the ball's trajectory. In this case, a > 0, the parabola opens upward. There is a minimum, instead of a maximum.
In order to have a maximum, a should be negative (a < 0).

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The equation $h = 16 t^{2} + 47 t + 3$ $h=16t^2+47t+3$ gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked. What is the maximum height the football reaches?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

The equation h=16t2+47t+3h=16t^2+47t+3 gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked. What is the maximum height the football reaches?

1 Answer

Explanation:

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Impact of this question

The equation $h = 16 t^{2} + 47 t + 3$ $h=16t^2+47t+3$ gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked. What is the maximum height the football reaches?