If an object is subjected to a constant force and undergoes acceleration, its velocity and position will change over time.
- Velocity: The object's velocity will increase over time in the direction of the applied force. The rate of change of velocity, or acceleration, is directly proportional to the applied force according to Newton's second law of motion:
F = m * a
Where: F is the applied force m is the mass of the object a is the acceleration
If the force remains constant, the object's velocity will experience a steady increase as long as the force continues to act. The relationship between velocity, acceleration, and time can be described by the following equation:
v = u + a * t
Where: v is the final velocity u is the initial velocity a is the constant acceleration t is the time elapsed
- Position: The object's position will also change as it accelerates. The relationship between position, velocity, acceleration, and time can be described by the equations of motion. Assuming the object starts from an initial position (s_0), the position at any given time (t) can be calculated using the equation:
s = s_0 + u * t + (1/2) * a * t^2
Where: s is the final position s_0 is the initial position u is the initial velocity a is the constant acceleration t is the time elapsed
As time progresses, both the object's velocity and position will change due to the constant force applied to it. The specific behavior of the object will depend on the magnitude and direction of the force, as well as its mass and any external factors affecting its motion.