1. What is the Distance Travelled Formula?

The distance travelled formula calculates the distance covered by a particle when its initial velocity, final velocity, and time taken are known. This formula is particularly useful for objects moving with constant acceleration.

2. How Does the Calculator Work?

The calculator uses the distance formula:

Where:

• \( D \) — Distance travelled (meters)
• \( u \) — Initial velocity (m/s)
• \( v_f \) — Final velocity (m/s)
• \( t \) — Time taken (seconds)

Explanation: This formula calculates distance by taking the average of initial and final velocities and multiplying by the time taken.

3. Importance of Distance Calculation

Details: Calculating distance travelled is fundamental in physics for analyzing motion, determining displacement, and solving problems related to kinematics and dynamics.

4. Using the Calculator

Tips: Enter initial velocity and final velocity in m/s, time in seconds. All values must be valid (velocities ≥ 0, time > 0).

5. Frequently Asked Questions (FAQ)

Q1: When is this formula applicable?
A: This formula works for objects moving with constant acceleration, where the velocity changes uniformly over time.

Q2: What's the difference between distance and displacement?
A: Distance is the total path length travelled, while displacement is the straight-line distance between start and end points with direction.

Q3: Can this formula be used for non-uniform acceleration?
A: No, this formula specifically applies to motion with constant acceleration. For variable acceleration, integration methods are needed.

Q4: What are the SI units for each variable?
A: Distance (meters), Initial velocity (m/s), Final velocity (m/s), Time (seconds).

Q5: How does this relate to other kinematic equations?
A: This is one of the standard equations of motion, derived from the area under a velocity-time graph for constant acceleration.