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. 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. 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. 1. How many seconds after the kick is the highest point reached? 2. On its path down the ball lands in a 4 feet deep irrigation ditch that runs next to the soccer field. How much time elapsed between the original kick, and the ball reaching the bottom of the ditch? 3. What is a reasonable domain for this model? 4. What is a reasonable range for this model?
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. 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.
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.
1. How many seconds after the kick is the highest point reached?
2. On its path down the ball lands in a 4 feet deep irrigation ditch that
runs next to the soccer field. How much time elapsed between the
original kick, and the ball reaching the bottom of the ditch?
3. What is a reasonable domain for this model?
4. What is a reasonable range for this model?
Step by step
Solved in 2 steps with 1 images
