1. What is the Distance Equation?

The distance equation \( d = \frac{1}{2} \times a \times t^2 \) calculates the distance traveled by an object under constant acceleration, starting from rest. This is a fundamental equation in kinematics and physics.

2. How Does the Calculator Work?

The calculator uses the distance equation:

Where:

• \( d \) — Distance traveled (meters)
• \( a \) — Constant acceleration (m/s²)
• \( t \) — Time elapsed (seconds)

Explanation: This equation assumes the object starts from rest (initial velocity = 0) and experiences constant acceleration throughout the motion.

3. Importance of Distance Calculation

Details: Calculating distance under constant acceleration is essential in physics, engineering, and various real-world applications such as vehicle braking distance, projectile motion, and free-fall calculations.

4. Using the Calculator

Tips: Enter acceleration in m/s² and time in seconds. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What if the object doesn't start from rest?
A: If there's an initial velocity (v₀), use the equation \( d = v_0t + \frac{1}{2}at^2 \).

Q2: Does this equation work for deceleration?
A: Yes, deceleration is simply negative acceleration. Use a negative value for acceleration.

Q3: What are the units for distance calculation?
A: The standard SI units are meters for distance, m/s² for acceleration, and seconds for time.

Q4: Is this equation accurate for all scenarios?
A: This equation assumes constant acceleration. It may not be accurate for scenarios with varying acceleration.

Q5: Can I use this for astronomical distances?
A: The equation works at any scale as long as acceleration is constant, though extremely large distances might require relativistic corrections.