1. What is the Distance Equation?

The distance equation calculates the displacement of an object under constant acceleration. It's a fundamental equation in kinematics that describes motion along a straight line with uniform acceleration.

2. How Does the Calculator Work?

The calculator uses the distance equation:

Where:

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

Explanation: This equation calculates the total distance traveled by an object when you know its initial velocity, the time of travel, and its constant acceleration.

3. Importance of Distance Calculation

Details: This calculation is essential in physics, engineering, and various real-world applications such as vehicle braking distance, projectile motion, and motion planning in robotics.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What if acceleration is zero?
A: When acceleration is zero, the equation simplifies to d = v_i × t, which represents uniform motion without acceleration.

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

Q3: What are the units for each variable?
A: Distance (m), initial velocity (m/s), time (s), acceleration (m/s²). Ensure consistent units for accurate results.

Q4: Does this equation work for non-constant acceleration?
A: No, this equation assumes constant acceleration. For varying acceleration, integration methods are required.

Q5: What if the initial velocity is negative?
A: Negative initial velocity indicates motion in the opposite direction of your chosen positive reference direction.