1. What is Distance Travelled in n-1 Seconds?

Distance Travelled in n-1 Seconds refers to the total displacement covered by an object in the time interval from the start of motion until (n-1) seconds, where n is the total time period under consideration.

2. How Does the Calculator Work?

The calculator uses the equation of motion:

Where:

• \( d_{n-1} \) — Distance travelled in n-1 seconds (meters)
• \( u \) — Initial velocity (m/s)
• \( n \) — Total number of seconds
• \( a_{lm} \) — Acceleration for linear motion (m/s²)

Explanation: This formula calculates the distance covered by an object under constant acceleration during the first (n-1) seconds of its motion.

3. Importance of Distance Calculation

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

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between distance and displacement?
A: Distance refers to the total path length travelled, while displacement is the straight-line distance between initial and final positions with direction.

Q2: Can this formula be used for deceleration?
A: Yes, simply use a negative value for acceleration to represent deceleration or retardation.

Q3: What if the acceleration is zero?
A: If acceleration is zero, the formula simplifies to d = u × (n-1), representing uniform motion.

Q4: How does this relate to the standard equations of motion?
A: This is a specific application of the standard equation s = ut + ½at², where t = (n-1) seconds.

Q5: What are the units for each parameter?
A: Initial velocity in m/s, time in seconds, acceleration in m/s², and resulting distance in meters.