Math Problem Statement
In 10 seconds, a car goes from traveling at 20 m/s to 34 m/s. What is the acceleration of the car?
Solution
To solve for the acceleration of the car, we can use the formula:
Where:
- is the change in velocity,
- is the time over which this change occurs.
Given:
- Initial velocity ,
- Final velocity ,
- Time .
First, we find :
Now we calculate the acceleration:
So, the acceleration of the car is .
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Math Problem Analysis
Mathematical Concepts
Physics
Kinematics
Acceleration Calculation
Formulas
a = ΔV / t
Theorems
Definition of Acceleration
Suitable Grade Level
Grades 9-11
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