1. What is the Distance Formula?

The distance formula calculates the distance covered by an object under constant acceleration, using initial velocity, final velocity, and acceleration. This kinematic equation is derived from the equations of motion.

2. How Does the Calculator Work?

The calculator uses the distance formula:

Where:

• \( v_f \) — Final velocity (m/s)
• \( v_i \) — Initial velocity (m/s)
• \( a \) — Acceleration (m/s²)

Explanation: This formula calculates the distance traveled by an object undergoing constant acceleration, without needing to know the time elapsed.

3. Importance of Distance Calculation

Details: Calculating distance with acceleration is crucial in physics, engineering, and various real-world applications like vehicle braking distance, projectile motion, and mechanical systems design.

4. Using the Calculator

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

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 for the calculation.

Q2: What if acceleration is zero?
A: If acceleration is zero, the object moves with constant velocity, and distance = velocity × time.

Q3: Can this formula be used for deceleration?
A: Yes, deceleration is simply negative acceleration. Enter a negative value for acceleration when the object is slowing down.

Q4: What are the SI units for this calculation?
A: The formula uses meters per second (m/s) for velocity, meters per second squared (m/s²) for acceleration, and meters (m) for distance.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for constant acceleration scenarios. Real-world applications may vary due to factors like air resistance or changing acceleration.