1. What Is The Final Velocity When Particle Is Projected Upwards Using Initial Velocity And Time?

This calculator determines the final velocity of a particle projected upwards using the initial velocity and time. The formula accounts for gravitational acceleration acting against the upward motion.

2. How Does The Calculator Work?

The calculator uses the formula:

Where:

• \( v_f \) — Final velocity (m/s)
• \( u \) — Initial velocity (m/s)
• \( [g] \) — Gravitational acceleration (9.80665 m/s²)
• \( t \) — Time (seconds)

Explanation: The negative sign before initial velocity indicates the direction reversal due to gravity, while [g]*t represents the velocity change due to gravitational acceleration over time.

3. Importance Of Final Velocity Calculation

Details: Calculating final velocity is essential for understanding projectile motion dynamics, predicting object trajectories, and solving physics problems involving vertical motion under gravity.

4. Using The Calculator

Tips: Enter initial velocity in m/s and time in seconds. Both values must be non-negative. Time represents the duration since projection.

5. Frequently Asked Questions (FAQ)

Q1: Why is there a negative sign before initial velocity?
A: The negative sign indicates that the final velocity direction is opposite to the initial upward projection when gravity acts over time.

Q2: What is the value of gravitational acceleration [g] used?
A: The calculator uses standard Earth gravity of 9.80665 m/s².

Q3: Can this formula be used for downward projections?
A: This specific formula is designed for upward projections. Different formulas apply for downward or horizontal projections.

Q4: What does a negative final velocity indicate?
A: A negative final velocity means the object is moving downward at that instant.

Q5: How does time affect the final velocity?
A: As time increases, the gravitational effect accumulates, increasing the downward velocity component.