Math Problem Statement
Study the problem and proposed solution below. Is the final answer correct? Then click the No mistakes button. Is the final answer wrong? Then click the button in front of the line with the first mistake and correct the mistake.
Solution
To help you determine if the final answer is correct, I'll first transcribe and analyze the content of the image.
Problem Statement:
A problem regarding the calculation of speed is given, which involves the formula:
Where:
- is the speed.
- is the distance.
- is the time.
Provided Values:
- Distance ():
- Time ():
Solution Steps:
- Write down the definition of speed:
- Substitute the given values:
- Calculate the quotient:
- Round to the correct number of significant digits:
Analysis:
-
Step 3 Calculation:
The division gives approximately , which is correctly calculated. -
Rounding:
The value is rounded to . Both the original distance and time have two significant digits (since 55 has two and 3.6 has two as well). Thus, the final answer should also be rounded to two significant digits. The correct rounding of to two significant digits is .
Conclusion:
The final answer should be rounded to 15 m/s instead of 15.28 m/s. The mistake occurred in the rounding step. Therefore, you should click the button in front of the line with the mistake and correct the final answer to .
Would you like further details or have any questions? Here are five related questions you might consider:
- What is the rule for rounding numbers based on significant digits?
- How do you determine the number of significant digits in a measurement?
- Why is it important to match the number of significant digits in your final answer to the given data?
- What would the calculation look like if the time were given as 3.60 seconds instead of 3.6?
- How would the procedure change if the distance were given as instead of ?
Tip: Always match the number of significant digits in your final result to the least precise measurement in the data.
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Math Problem Analysis
Mathematical Concepts
Physics
Kinematics
Formulas
Speed formula v = d / t
Theorems
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Suitable Grade Level
Grades 9-12