1. What is Distance Travelled in nth Second?

The distance travelled in the nth second refers to the distance covered by an object during a specific second of its motion. This calculation is particularly useful in analyzing motion where acceleration is constant.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( d_n \) — Distance travelled in nth second (m)
• \( u \) — Initial velocity (m/s)
• \( a_{lm} \) — Acceleration for linear motion (m/s²)
• \( n \) — Number of seconds

Explanation: This formula calculates the distance covered during a specific second of motion by considering the initial velocity, constant acceleration, and the time interval.

3. Importance of Distance Calculation

Details: Calculating distance travelled in specific time intervals is crucial for analyzing motion patterns, predicting positions, and understanding acceleration effects in physics and engineering applications.

4. Using the Calculator

Tips: Enter initial velocity in m/s, acceleration in m/s², and the specific second number. All values must be valid (seconds > 0).

5. Frequently Asked Questions (FAQ)

Q1: What if acceleration is zero?
A: If acceleration is zero, the formula simplifies to d_n = u, meaning the object covers equal distance each second at constant velocity.

Q2: Can this formula be used for deceleration?
A: Yes, simply use negative acceleration values for deceleration scenarios.

Q3: What are typical units for this calculation?
A: Meters for distance, meters per second for velocity, and meters per square second for acceleration.

Q4: Does this work for non-uniform acceleration?
A: No, this formula assumes constant acceleration throughout the motion.

Q5: How is this different from total distance travelled?
A: This calculates distance during a specific second, while total distance is the sum of all distances covered from start to the given time.