A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2. 3
1 answer:
The height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.
<h3>How to model a mathematical function?</h3>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
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,
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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Answer:
<h2>a) 10⁶metres</h2><h2>b) 10¹⁸metres</h2>Step-by-step explanation:
Given One terameter equals 10¹² meters. One micrometer equals 10⁻⁶ meter, one nanometer equals 10⁻⁹meter;
a) The product of one terameter and one micrometer will be expressed as;
10¹² * 10⁻⁶
Since the both have the same base, we will add their power according to one of the law in indices as shown
10¹² * 10⁻⁶ = 10⁻⁶⁺¹²
= 10⁶metres
b) The quotient of one terameter and one micrometer can be gotten by taking their ratio as shown below;
Note that when taking the quotient, the power are subtracted