5. When a soccer ball is kicked, it goes up into the air, reaches a maximum altitude and then comes back down. Assume, therefore, that a quadratic function is a reasonable mathematical model for this real world situation. Answer the following questions. Only final answers may be rounded to 2 decimals. Answers must in the context of the model including units! Let x = number of seconds that have elapsed since the ball was kicked Let y = number of feet the ball is above the ground. a) When the ball was kicked it was 4 feet above the ground. One second later, it was 28 feet above the ground. Two seconds after it was kicked, it was 20 feet in the air. Write the particular equation expressing y in terms of x. b) What is the height of the ball at its highest point? c) How many seconds after the kick is the highest point reached?
5. When a soccer ball is kicked, it goes up into the air, reaches a maximum altitude and then comes back down. Assume, therefore, that a quadratic function is a reasonable mathematical model for this real world situation. Answer the following questions. Only final answers may be rounded to 2 decimals. Answers must in the context of the model including units! Let x = number of seconds that have elapsed since the ball was kicked Let y = number of feet the ball is above the ground. a) When the ball was kicked it was 4 feet above the ground. One second later, it was 28 feet above the ground. Two seconds after it was kicked, it was 20 feet in the air. Write the particular equation expressing y in terms of x. b) What is the height of the ball at its highest point? c) How many seconds after the kick is the highest point reached?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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