1. What is Distance Under Constant Acceleration?

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

2. How Does the Calculator Work?

The calculator uses the distance formula:

Where:

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

Explanation: The formula combines the distance covered due to initial velocity with the additional distance gained (or lost) due to 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 understanding kinematic relationships.

4. Using the Calculator

Tips: Enter initial velocity in m/s, time in seconds, and acceleration in m/s². 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 \( d = \frac{1}{2} a t^2 \), representing distance from rest under constant acceleration.

Q2: Can this formula be used for vertical motion?
A: Yes, for vertical motion under gravity, use \( a = -9.8 \) m/s² (negative for upward direction).

Q3: What is the difference between distance and displacement?
A: Distance is total path length, while displacement is straight-line distance from start to end point with direction.

Q4: When is this formula not applicable?
A: This formula only applies when acceleration is constant. For variable acceleration, calculus-based methods are required.

Q5: How does this relate to other motion equations?
A: This is one of the four standard kinematic equations that describe motion with constant acceleration.