Horizontal Projectile Range Calculator for Cliff Edge Throw
An object launched horizontally at 10 m/s from a 20 m high cliff on Earth.
Calculates the horizontal distance traveled by an object launched horizontally from a given height, ignoring air resistance. Enter your Initial Horizontal Velocity (v), Launch Height (h), Gravitational Acceleration (g) to get an instant horizontal range (meters). Formula: v * sqrt((2 * h) / g).
Horizontal Range (meters)
Fill in the fields above and click Calculate
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How It Works
How It Works
This calculator finds how far an object travels horizontally when it is launched from a certain height with a horizontal speed. It assumes there is no air resistance, so only gravity affects the vertical motion.
First, it calculates how long the object takes to fall to the ground using the free-fall formula. Then, it multiplies that falling time by the horizontal velocity to find the total horizontal distance traveled.
- Step 1: Calculate fall time using √((2 × h) / g)
- Step 2: Multiply fall time by horizontal velocity (v)
- Formula used: v × √((2 × h) / g)
- Air resistance is ignored for simplicity
Understanding the Results
The result shows the horizontal range, which is the distance the object travels from the launch point to where it lands. The value is measured in meters.
A higher launch height increases the fall time, which increases the range. A higher horizontal velocity also increases the total distance traveled.
- Output is measured in meters (m)
- Greater height means longer fall time
- Greater horizontal speed means longer range
- Gravity affects how quickly the object falls
Frequently Asked Questions
What does this Horizontal Projectile Range Calculator compute?
This calculator determines how far an object travels horizontally when launched from a specific height with an initial horizontal velocity. It assumes there is no air resistance and that gravity is constant. The result is the horizontal range, measured in meters.
When should I use this calculator?
Use this calculator when an object is launched horizontally (not at an upward or downward angle) from a known height. It is ideal for physics problems involving projectiles moving off cliffs, tables, or platforms where only horizontal velocity is given.
How does the calculator determine the horizontal range?
First, it calculates the time it takes for the object to fall using the free-fall formula √(2h/g). Then, it multiplies that time by the horizontal velocity (v). The final formula used is v × √((2 × h) / g).
What value should I use for gravitational acceleration (g)?
On Earth, the standard value of gravitational acceleration is approximately 9.8 m/s². If you are solving a problem for a different planet or using a rounded classroom value (such as 9.81 m/s²), enter that specific value instead.
Does this calculator account for air resistance?
No, this calculator assumes there is no air resistance. In real-world conditions, air drag would reduce the horizontal distance traveled. This tool provides the idealized physics result based on constant gravitational acceleration.
Can I use this for angled projectile motion?
No, this calculator only applies to objects launched purely horizontally. If the object has an upward or downward launch angle, a different set of projectile motion equations must be used.
Disclaimer
This calculator provides estimates for informational purposes only. It is not professional advice. Verify results with a qualified professional. Disclaimer.