The diagram below shows Johnson making a precise kick towards the crossbar in a game of rugby. Given the height of the goal post from the ground is 4 meters and the distance of the rugby ball to the goal post is 10 meters. The movement of the rugby ball forms a curve given by a function, y = (-1/100)(x2 - 30x). If the movement of the rugby ball passes through the shortest distance to the crossbar goal, determine by count, whether the rugby ball kicked by Johnson will pass the crossbar or not. Give your reasons.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
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EXERCISE 12

The diagram below shows Johnson making a precise kick towards the crossbar in a game of rugby. Given the height of the goal post from the ground is 4 meters and the distance of the rugby ball to the goal post is 10 meters.

The movement of the rugby ball forms a curve given by a function,

y = (-1/100)(x2 - 30x). If the movement of the rugby ball passes through the shortest distance to the crossbar goal, determine by count, whether the rugby ball kicked by Johnson will pass the crossbar or not. Give your reasons.

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