Range is a primary dispersion measure in exploratory data analysis (Tukey, 1977).
Maximum range on level ground occurs at 45° ignoring drag (Halliday, 2020).
FAQ
What is the statistical range?
The statistical range equals the largest value minus the smallest, revealing spread at a glance (Tukey, 1977).
How does the tool compute projectile distance?
It feeds your inputs into $$ rac{v_0\cos\theta}{g}\left(v_0\sin\theta+\sqrt{(v_0\sin\theta)^2+2gh}\right)$$, converting degrees to radians first (Halliday, 2020).
Why adjust gravity?
Gravity varies by body—Earth 9.81 m/s², Moon 1.62 m/s²—so changing it keeps predictions realistic (NASA, 2021).
Which launch angle gives maximum range?
On level ground without air drag, 45° maximises horizontal distance (Halliday, 2020).
Does air resistance affect range?
Yes; drag can shorten range by up to 40 % in small-arms ballistics tests (McCoy, 2012).
Can I input decimals?
The form accepts floats to two decimal places for precise values.
Is there a data-size limit?
JavaScript handles thousands of numbers, but readability drops beyond 200 items (ECMA-262, 2022).
Where is range useful?
Engineers compare tolerances, coaches set kick targets, and analysts gauge variability quickly (ISO 3534-1, 2023).
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