Math Problem Statement
A car accelerates from rest at a constant rate of 3 m/s² for 8 seconds. Calculate the car's final velocity.
Solution
To calculate the car's final velocity, we can use the equation of motion:
Where:
- is the final velocity,
- is the initial velocity,
- is the acceleration,
- is the time.
Given:
- Initial velocity, m/s (since the car starts from rest),
- Acceleration, m/s²,
- Time, seconds.
Now, substituting the values into the equation:
So, the car's final velocity is 24 m/s.
Would you like any details or have any questions?
Here are 5 related questions to expand your understanding:
- What is the displacement of the car after 8 seconds?
- How would the final velocity change if the acceleration was doubled?
- What would be the final velocity if the car started with an initial velocity of 5 m/s?
- How would the time affect the final velocity if acceleration remained constant?
- What is the difference between constant and variable acceleration?
Tip: Always ensure the units are consistent when using equations of motion, especially in problems involving different physical quantities like time, velocity, and acceleration.
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Math Problem Analysis
Mathematical Concepts
Kinematics
Equations of Motion
Formulas
v = u + at
Theorems
-
Suitable Grade Level
Grades 9-12
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