1. What Are Kinematic Equations?

Kinematic equations describe the motion of objects with constant acceleration. These equations relate displacement, initial velocity, final velocity, acceleration, and time, providing a mathematical framework for analyzing motion in physics.

2. How Does the Calculator Work?

The calculator uses three fundamental kinematic equations:

Where:

• \( v \) — Final velocity (m/s)
• \( u \) — Initial velocity (m/s)
• \( a \) — Acceleration (m/s²)
• \( t \) — Time (s)
• \( s \) — Displacement (m)

Explanation: These equations assume constant acceleration and allow you to calculate any unknown variable when at least three other variables are known.

3. Understanding the Variables

Details: Velocity is a vector quantity with both magnitude and direction, while speed is scalar (magnitude only). Acceleration represents the rate of change of velocity over time. Displacement is the straight-line distance between initial and final positions.

4. Using the Calculator

Tips: Enter values for at least three known variables. The calculator will automatically compute the remaining unknown values. Use consistent SI units (meters for distance, seconds for time).

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between speed and velocity?
A: Speed is a scalar quantity (magnitude only), while velocity is a vector quantity (magnitude and direction).

Q2: When can I use these kinematic equations?
A: These equations are valid only for motion with constant acceleration in a straight line.

Q3: What if acceleration is zero?
A: With zero acceleration, the equations simplify to uniform motion: v = u and s = ut.

Q4: Can these equations be used for free fall?
A: Yes, for free fall near Earth's surface, use a = -9.8 m/s² (negative for downward direction).

Q5: What are the limitations of these equations?
A: They don't account for air resistance, variable acceleration, or motion in two/three dimensions without vector decomposition.