1. What Is Acceleration From Distance-Time Graph?

Acceleration is the rate of change of velocity with respect to time. From a distance-time graph, acceleration can be determined by finding the second derivative of the distance function with respect to time.

2. How Does The Calculator Work?

The calculator uses the acceleration formula:

Where:

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

Explanation: This formula calculates the constant acceleration by measuring the change in velocity over a specific time period.

3. Importance Of Acceleration Calculation

Details: Calculating acceleration is fundamental in physics for understanding motion, designing transportation systems, analyzing sports performance, and many engineering applications.

4. Using The Calculator

Tips: Enter initial and final velocities in m/s, and time interval in seconds. All values must be valid (time > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between acceleration and velocity?
A: Velocity is the rate of change of displacement, while acceleration is the rate of change of velocity.

Q2: Can acceleration be negative?
A: Yes, negative acceleration (deceleration) occurs when an object is slowing down.

Q3: What are the units of acceleration?
A: The SI unit for acceleration is meters per second squared (m/s²).

Q4: How is acceleration represented on a distance-time graph?
A: On a distance-time graph, acceleration is represented by the curvature of the line. A straight line indicates constant velocity (zero acceleration), while a curved line indicates changing velocity (non-zero acceleration).

Q5: What is constant acceleration?
A: Constant acceleration occurs when velocity changes at a constant rate over time.