1. What is the Distance Formula?

The distance formula calculates the distance traveled by an object under constant acceleration, taking into account its initial speed and the time elapsed. It's derived from the equations of motion in physics.

2. How Does the Calculator Work?

The calculator uses the distance formula:

Where:

• \( acceleration \) — Constant acceleration (m/s²)
• \( time \) — Time elapsed (s)
• \( initial\_speed \) — Initial speed of the object (m/s)

Explanation: The formula accounts for both the distance covered due to acceleration and the distance covered due to initial velocity.

3. Importance of Distance Calculation

Details: Calculating distance from acceleration and time is fundamental in physics, engineering, and various real-world applications like vehicle safety testing, sports analysis, and motion planning.

4. Using the Calculator

Tips: Enter acceleration in m/s², time in seconds, and initial speed in m/s. Time must be a non-negative value.

5. Frequently Asked Questions (FAQ)

Q1: What if acceleration is zero?
A: If acceleration is zero, the formula simplifies to distance = initial_speed × time, representing uniform motion.

Q2: Can this formula be used for deceleration?
A: Yes, deceleration is simply negative acceleration. The formula works the same way with negative values.

Q3: What are the units of measurement?
A: The formula uses meters for distance, m/s² for acceleration, seconds for time, and m/s for speed.

Q4: Does this formula work for variable acceleration?
A: No, this formula assumes constant acceleration. For variable acceleration, integration methods are required.

Q5: What if the initial speed is zero?
A: If initial speed is zero, the formula simplifies to distance = 0.5 × acceleration × time².