position

Interface

Overview

This module computes the position of an object moving uniformly (constant speed or constant acceleration).

Authors

Lucian Bentea (July 2007)

Position Velocity

This function determines the position of an object at time after moving uniformly at constant velocity for a certain period of time. The formula relating the above quantities is where is the initial position of the object at time .

Example 1

#include <codecogs/physics/kinematics/position.h>
#include <iostream>
 
int main()
{
  // the constant velocity and the current time
  double v = 5.7, t = 12;
 
  std::cout << std::endl;
  std::cout << "Velocity = " << v << " m/s";
  std::cout << std::endl;
  std::cout << "    Time = " << t << " s";
  std::cout << std::endl << std::endl;
 
  // compute the current position
  // assuming the initial position and time are null
 
  std::cout << "Position = " <<
  Physics::Kinematics::position_velocity(t, v);
  std::cout << " m" << std::endl;
 
  return 0;
}

Output

Velocity = 5.7 m/s
    Time = 12 s
 
Position = 68.4 m

Parameters

t	the current time (seconds)
v	the value of the constant velocity (meters per second)
x0	Default value = 0
t0	Default value = 0

Returns

the position of the object after moving uniformly at constant velocity for t seconds (meters)

Source Code

This module is private, for owner's use only.

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Position Acceleration

This function determines the position of an object at time after moving uniformly at constant acceleration for a certain period of time, with initial velocity given by . The formula relating the above quantities is where is the initial position of the object at time .

Example 2

#include <codecogs/physics/kinematics/position.h>
#include <iostream>
 
int main()
{
  // the constant velocity and the current time
  double a = 0.7, v0 = 4.33, t = 9.8;
 
  std::cout << std::endl;
  std::cout << "  Acceleration = " << a << " m/s^2";
  std::cout << std::endl;
  std::cout << "Init. velocity = " << v0 << " m/s";
  std::cout << std::endl;
  std::cout << "          Time = " << t << " s";
  std::cout << std::endl << std::endl;
 
  // compute the current position
  // assuming the initial position and time are null
 
  std::cout << "      Position = " <<
  Physics::Kinematics::position_acceleration(t, a, v0);
  std::cout << " m" << std::endl;
 
  return 0;
}

Output

Acceleration = 0.7 m/s^2
Init. velocity = 4.33 m/s
          Time = 9.8 s
 
      Position = 76.048 m

Parameters

t	the current time (seconds)
a	the value of the constant acceleration (meters per sq. second)
v0	the initial velocity of the object at time t0 (meters per second)
x0	Default value = 0
t0	Default value = 0

Returns

the position of the object after moving uniformly at constant acceleration for t seconds (meters)

Source Code

This module is private, for owner's use only.

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