Question

A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2. 3 seconds, the ball lands on the ground. The ball’s motion can be modeled using the function f(x) = –10x2 20x 8. What is the height of the ball 1. 5 seconds after it is thrown? 11. 7 meters 13. 8 meters 15. 5 meters 17. 5 meters.

Answer 1

The height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.

How to model a mathematical function?

The mathematical functions is used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple mathematical function-

• Identify all the factors of the expression.
• Assume a variable for the changing values.
• Put a coefficient for the variable, if there is any rate of change of variable.
• Use constant numbers for the fixed values.

A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second.

After approximately 2.3 seconds, the ball lands on the ground.

The ball’s motion can be modeled using the function

$f(x) = -10x^2 +20x+ 8$

Here, x represents the time in seconds.

As, the height of the ball 1.5 seconds after it is thrown has to be found out. Thus, put the values of in the above equation as,

$f(x) = -10(1.5)^2 +20(1.5)+ 8\\f(x)=-22.5+30+8\\f(x)=15.5\rm \; m$

Hence, the height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.

Learn more about the modeling the mathematical function here;

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