1. What is Distance Under Constant Acceleration?

The distance traveled under constant acceleration formula calculates the displacement of an object when it experiences uniform acceleration over time. This fundamental physics equation is essential for analyzing motion in one dimension.

2. How Does the Calculator Work?

The calculator uses the kinematic equation:

Where:

• \( d \) — Distance traveled (meters)
• \( v_i \) — Initial velocity (meters/second)
• \( a \) — Constant acceleration (meters/second²)
• \( t \) — Time elapsed (seconds)

Explanation: The equation combines the distance covered due to initial velocity with the additional distance gained (or lost) from constant acceleration over time.

3. Importance of Distance Calculation

Details: This calculation is crucial in physics, engineering, and motion analysis for predicting object positions, designing transportation systems, and solving real-world motion problems.

4. Using the Calculator

Tips: Enter initial velocity in m/s, acceleration in m/s², and time in seconds. Time must be positive. Negative acceleration indicates deceleration.

5. Frequently Asked Questions (FAQ)

Q1: What if initial velocity is zero?
A: The formula simplifies to \( d = \frac{1}{2} a t^2 \), which describes motion starting from rest under constant acceleration.

Q2: Can acceleration be negative?
A: Yes, negative acceleration indicates deceleration or motion in the opposite direction of initial velocity.

Q3: What are typical units for this calculation?
A: Standard SI units are meters for distance, m/s for velocity, m/s² for acceleration, and seconds for time.

Q4: Does this work for free fall motion?
A: Yes, for free fall near Earth's surface, use \( a = -9.8 \, m/s^2 \) (negative for downward direction).

Q5: What are the limitations of this formula?
A: It assumes constant acceleration and doesn't account for air resistance, variable forces, or relativistic effects at high speeds.