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Third equation of motion
v² = u² + 2as
Where: a = acceleration (m/s²), s = displacement (m), u = initial velocity (m/s), v = final velocity / speed (m/s)
Solved example
Given: s = 7, u = 5, v = 10
Find: a (acceleration (m/s²))
- Formula: v² = 2·a·s + u²
- Rearranged for a: a = (-u² + v²)/(2·s)
- Substitute the values: a = (10² - 5²)/(2·7)
- Result: a = 5.357143
Answer: a = 5.357143
Calculator
How to calculate Third equation of motion
- Write down the formula: v² = u² + 2as.
- Note the known values (s, u, v).
- Substitute them and simplify to find a.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Third equation of motion?
The formula is v² = u² + 2as, where a = acceleration (m/s²), s = displacement (m), u = initial velocity (m/s), v = final velocity / speed (m/s).
What is Third equation of motion when s = 7, u = 5, v = 10?
a = 5.357143. Substitute the values into v² = u² + 2as and simplify.