1. What is the Distance Equation?

The distance equation calculates the displacement of an object under constant acceleration. It's derived from the equations of motion and is fundamental in physics for analyzing object movement.

2. How Does the Calculator Work?

The calculator uses the distance equation:

Where:

• \( d \) — Distance/displacement (m)
• \( a \) — Acceleration (m/s²)
• \( t \) — Time (s)
• \( v_i \) — Initial velocity (m/s)

Explanation: The equation calculates the total distance traveled by an object under constant acceleration, accounting for both the acceleration component and the initial velocity component.

3. Importance of Distance Calculation

Details: Accurate distance calculation is crucial in physics, engineering, and various applications including vehicle safety systems, sports science, and projectile motion analysis.

4. Using the Calculator

Tips: Enter acceleration in m/s², time in seconds, and initial velocity in m/s. Time must be a non-negative value.

5. Frequently Asked Questions (FAQ)

Q1: What if acceleration is zero?
A: If acceleration is zero, the equation simplifies to d = v_i × t, which represents uniform motion.

Q2: Can this equation be used for deceleration?
A: Yes, deceleration is simply negative acceleration. Use a negative value for a when an object is slowing down.

Q3: Does this equation work for free fall?
A: Yes, for free fall near Earth's surface, use a = -9.8 m/s² (negative indicates downward direction).

Q4: What are the limitations of this equation?
A: This equation assumes constant acceleration. It doesn't account for air resistance, changing acceleration, or relativistic effects at very high speeds.

Q5: How is this different from average velocity equations?
A: This equation gives precise displacement when acceleration is constant, while average velocity equations work for both constant and variable acceleration.