1. What is the Displacement of Particle Formula?

The displacement of particle formula calculates the change in position of an object using its initial velocity, final velocity, and constant acceleration. This equation is derived from the kinematic equations of motion and is particularly useful when time is not known.

2. How Does the Calculator Work?

The calculator uses the displacement formula:

Where:

• \( dp \) — Displacement of Particle (meters)
• \( vf \) — Final Velocity (m/s)
• \( u \) — Initial Velocity (m/s)
• \( alm \) — Acceleration For Linear Motion (m/s²)

Explanation: This equation relates the change in velocity squared to the displacement and acceleration, assuming constant acceleration.

3. Importance of Displacement Calculation

Details: Calculating displacement is fundamental in physics for understanding an object's motion, predicting future positions, and analyzing mechanical systems.

4. Using the Calculator

Tips: Enter final velocity and initial velocity in m/s, and acceleration in m/s². Acceleration cannot be zero as it would result in division by zero.

5. Frequently Asked Questions (FAQ)

Q1: When is this formula applicable?
A: This formula applies when acceleration is constant and time is not known or needed in the calculation.

Q2: What's the difference between displacement and distance?
A: Displacement is a vector quantity measuring change in position with direction, while distance is a scalar quantity measuring total path length.

Q3: Can this formula be used for negative acceleration?
A: Yes, the formula works for both positive (acceleration) and negative (deceleration) values.

Q4: What happens if acceleration is zero?
A: The formula cannot be used directly when acceleration is zero as it would involve division by zero.

Q5: How is this formula derived?
A: This formula is derived by eliminating time from the standard kinematic equations: v = u + at and s = ut + ½at².