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Distance in n-th second
sₙ = u + a(2n − 1)/2
Where: a = acceleration (m/s²), n = number (n), sₙ = distance in n-th second (m), u = initial velocity (m/s)
Solved example
Given: a = 7, n = 5, u = 10
Find: s_n (distance in n-th second (m))
- Formula: sₙ = a·(2·n - 1)/2 + u
- Substitute the values: sₙ = 10 + 7·(2·5 - 1)/2
- Result: sₙ = 41.5 m
Answer: s_n = 41.5 m
Calculator
How to calculate Distance in n-th second
- Write down the formula: sₙ = u + a(2n − 1)/2.
- Note the known values (a, n, u).
- Substitute them and simplify to find s_n.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Distance in n-th second?
The formula is sₙ = u + a(2n − 1)/2, where a = acceleration (m/s²), n = number (n), sₙ = distance in n-th second (m), u = initial velocity (m/s).
What is Distance in n-th second when a = 7, n = 5, u = 10?
s_n = 41.5 m. Substitute the values into sₙ = u + a(2n − 1)/2 and simplify.