Math Problem Statement
vf = vi + at
If you accelerate to vf = 5.9, accelerating at a = 1.4 m/s2 for t = 4.2 s, what was your initial velocity vi? Give answer to one decimal place.
Solution
To find the initial velocity , we can rearrange the formula:
Solving for :
Now, substitute the given values:
So, the initial velocity is approximately .
Would you like more details on how the formula was derived or on another concept?
Here are 5 related questions for further exploration:
- How would the result change if the acceleration were doubled?
- What would be the distance traveled during this time?
- How does the direction of acceleration affect initial velocity?
- Can the equation be applied to non-constant acceleration scenarios?
- What happens to if the time duration is reduced?
Tip: Always keep track of the units when working with equations in physics to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Kinematics
Linear Motion
Formulas
vf = vi + at
vi = vf - at
Theorems
Newton's Second Law of Motion (implied in the acceleration)
Suitable Grade Level
Grades 9-12