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[FEAT] Add Kinematics (SUVAT) equations (#7053)
[FEAT] Add SUVAT equation for motion Co-authored-by: Priyanshu1303d <priyanshu130d@gmail.com>
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src/main/java/com/thealgorithms/physics/Kinematics.java
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src/main/java/com/thealgorithms/physics/Kinematics.java
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package com.thealgorithms.physics;
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/**
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* Implements the fundamental "SUVAT" equations for motion
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* under constant acceleration.
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*
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* @author [Priyanshu Kumar Singh](https://github.com/Priyanshu1303d)
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* @see <a href="https://en.wikipedia.org/wiki/Equations_of_motion#Uniform_acceleration">Wikipedia</a>
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*/
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public final class Kinematics {
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private Kinematics() {
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}
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/**
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* Calculates the final velocity (v) of an object.
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* Formula: v = u + at
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*
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* @param u Initial velocity (m/s).
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* @param a Constant acceleration (m/s^2).
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* @param t Time elapsed (s).
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* @return The final velocity (m/s).
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*/
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public static double calculateFinalVelocity(double u, double a, double t) {
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return u + a * t;
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}
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/**
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* Calculates the displacement (s) of an object.
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* Formula: s = ut + 0.5 * a * t^2
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*
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* @param u Initial velocity (m/s).
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* @param a Constant acceleration (m/s^2).
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* @param t Time elapsed (s).
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* @return The displacement (m).
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*/
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public static double calculateDisplacement(double u, double a, double t) {
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return u * t + 0.5 * a * t * t;
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}
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/**
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* Calculates the displacement (s) of an object.
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* Formula: v^2 = u^2 + 2 * a * s
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*
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* @param u Initial velocity (m/s).
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* @param a Constant acceleration (m/s^2).
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* @param s Displacement (m).
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* @return The final velocity squared (m/s)^2.
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*/
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public static double calculateFinalVelocitySquared(double u, double a, double s) {
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return u * u + 2 * a * s;
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}
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/**
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* Calculates the displacement (s) using the average velocity.
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* Formula: s = (u + v) / 2 * t
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*
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* @param u Initial velocity (m/s).
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* @param v Final velocity (m/s).
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* @param t Time elapsed (s).
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* @return The displacement (m).
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*/
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public static double calculateDisplacementFromVelocities(double u, double v, double t) {
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double velocitySum = u + v;
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return velocitySum / 2 * t;
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}
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}
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