A soccer ball is kicked from the ground at an upward velocity of 25 feet per second. This situation can be represented by the function f(x)= -16x² + 25x. Graph the function. Identify the x-intercept(s) and interpret its meaning.

Question

A soccer ball is kicked from the ground at an upward velocity of 25 feet per second. This situation can be represented by the function f(x)= -16x² + 25x. Graph the function. Identify the x-intercept(s) and interpret its meaning.

• (0.781, 9.766); The soccer ball will reach a maximum height of 9.766 feet 0.781 seconds after being kicked.
• (1.563, 0); The soccer ball will return to the ground 1.563 seconds after it has been kicked.
• (0, 1.563); The soccer ball will return to the ground 1.563 seconds after it has been kicked.
• (1.25, 0); The soccer ball will return to the ground 1.25 seconds after it has been kicked.

Answer 1

The x-intercepts of the function f(x) = -16x² + 25x represent the points where the ball returns to the ground. From the given options, (1.563, 0) is the x-intercept, which means the soccer ball will return to the ground 1.563 seconds after it has been kicked.