1. What is the Distance Equation?

The distance equation \( d = u t + \frac{1}{2} a t^2 \) calculates the distance traveled by an object under constant acceleration, where u is initial velocity, a is acceleration, and t is time. This is a fundamental equation in kinematics.

2. How Does the Calculator Work?

The calculator uses the distance equation:

Where:

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

Explanation: The equation accounts for both the initial velocity component and the acceleration component of motion.

3. Importance of Distance Calculation

Details: This calculation is essential in physics, engineering, and motion analysis. It helps predict an object's position after a certain time under constant acceleration.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What if acceleration is zero?
A: If acceleration is zero, the equation simplifies to d = u t, representing constant velocity motion.

Q2: What if initial velocity is zero?
A: If initial velocity is zero, the equation simplifies to d = ½ a t², representing motion starting from rest.

Q3: Does this equation work for deceleration?
A: Yes, simply use a negative value for acceleration when the object is slowing down.

Q4: What are the units of measurement?
A: The calculator uses SI units: meters for distance, m/s for velocity, m/s² for acceleration, and seconds for time.

Q5: When is this equation not applicable?
A: This equation assumes constant acceleration. It doesn't apply when acceleration is changing over time.