d4t_formulas/lib/formulas.d4rt

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[
// Free fall distance (vertical)
{
name: "Free Fall Distance",
input: [
{name: "t", magnitude: "s"}, // Time in seconds
{name: "g", magnitude: "m/s²"} // Gravitational acceleration
],
output: {name: "h", magnitude: "m"}, // Height in meters
d4rtCode: "0.5 * g * pow(t, 2)"
},
// Newton's Law of Universal Gravitation
{
name: "Gravitational Force",
input: [
{name: "m1", magnitude: "kg"}, // Mass 1
{name: "m2", magnitude: "kg"}, // Mass 2
{name: "r", magnitude: "m"} // Distance between masses
],
output: {name: "F", magnitude: "N"}, // Force in newtons
d4rtCode: "(6.67430e-11 * m1 * m2) / pow(r, 2)"
},
// Kinetic Energy
{
name: "Kinetic Energy",
input: [
{name: "m", magnitude: "kg"}, // Mass
{name: "v", magnitude: "m/s"} // Velocity
],
output: {name: "KE", magnitude: "J"}, // Energy in joules
d4rtCode: "0.5 * m * pow(v, 2)"
},
// Projectile Motion Range
{
name: "Projectile Range",
input: [
{name: "v", magnitude: "m/s"}, // Initial velocity
{name: "θ", magnitude: "deg"} // Launch angle
],
output: {name: "R", magnitude: "m"}, // Horizontal distance
d4rtCode: "(pow(v, 2) * sin(2 * radians(θ))) / 9.80665"
}
]