1. What is the Distance Equation?

The distance equation \( d = \frac{1}{2} \times a \times t^2 \) calculates the distance traveled 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 duration (seconds)

Explanation: This equation assumes initial velocity is zero and acceleration remains constant throughout the motion.

3. Importance of Distance Calculation

Details: Accurate distance calculation is essential in physics, engineering, motion analysis, and various practical applications involving moving objects under constant acceleration.

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: This equation only applies when initial velocity is zero. For non-zero initial velocity, use \( d = v_0t + \frac{1}{2}at^2 \).

Q2: Does this work for deceleration?
A: Yes, use a negative acceleration value for deceleration (slowing down).

Q3: What are typical acceleration values?
A: Earth's gravity is approximately 9.8 m/s². Car acceleration might be 2-3 m/s².

Q4: Can I use different units?
A: The calculator uses SI units. Convert other units to m/s² for acceleration and seconds for time before calculation.

Q5: What if acceleration isn't constant?
A: This equation only works for constant acceleration. For variable acceleration, integration methods are required.