Question

The flight of a kicked football follows the quadratic function f(x)=−0.02x2+2.2x+2, where f(x) is the vertical distance in feet and x is the horizontal distance the ball travels. How far, in feet, will the ball travel across the field by the time it hits the ground? Round your answer to one decimal place.

Answer 1

Answer:

The horizontal distance the ball travels is 0.902 meters.

Explanation:

The flight of a kicked football follows the quadratic function as :

$f(x)=-0.02x^2+2.2x+2$

Where

f(x) is the vertical distance in feet

x is the horizontal distance the ball travels

We need to find the distance the ball travel across the field by the time it hits the ground. At this condition,

f(x) = 0

$-0.02x^2+2.2x+2=0$

On solving the above quadratic equation we get, the horizontal distance the ball travels as :

x = -0.902 meters

So, the horizontal distance the ball travels is 0.902 meters. Hence, this is the required solution.