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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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