Basic Kinematics: Constant Velocity w/o Rotation

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In summary, when the velocity of a body never becomes zero and constantly changes with a rate of change of magnitude of velocity of zero, the magnitude of velocity remains constant. For the direction of velocity to change without changing its magnitude, a perpendicular force must act on it. If this force remains constant, the result is parabolic motion, while if the force also changes its direction to remain perpendicular to the motion, circular motion is the result. A possible example of this is a spaceship with thrusters pointing perpendicular to its heading, allowing it to follow a wiggling path at a constant speed. This can be demonstrated by trying to change direction while maintaining a constant speed on a bike.
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vaishakh
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Can there be any other case than rotating when the velocity of a body never becomes zero and still constantly changes in such a way that rate of change of magnitude of velocity is always zero(dv/dt = 0), i.e. the magnitude of velocity is constant?
 
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  • #2
For velocity to change its direction without changing its magnitude it must experience a net force that is perpendicular to its direction of motion. If this force remains constant in direction, then parabolic motion (such as projectile motion) is the result.

If the force also changes its direction so as to constantly stay perpendicular to motion, then circular motion is the result. One could get clever and make a spaceship that has many thrusters mounted around the ships middle, all pointing perpendicular to the ships heading. If a computer managed to fire these such that only one was on at any moment, the ship could take a wiggling path, following many arcs through space, but always at a constant speed.
 
  • #3
well it is easy, take a bike try to do all the maneuver u can while keeping the speed constant but changing direction.
 

1. What is basic kinematics?

Basic kinematics is the study of motion and its causes, without considering the forces that cause the motion. It involves analyzing the position, velocity, and acceleration of an object as it moves.

2. What is constant velocity without rotation?

Constant velocity without rotation refers to a type of motion where an object moves in a straight line at a constant speed, without changing direction or rotating.

3. How do you calculate velocity?

Velocity is calculated by dividing the change in an object's position by the time it takes for that change to occur. It is a vector quantity, meaning it has both magnitude (speed) and direction.

4. Can an object have a constant velocity and still be accelerating?

No, an object cannot have a constant velocity and accelerate at the same time. Acceleration is defined as a change in velocity, so if an object's velocity remains constant, there is no acceleration.

5. Why is it important to study basic kinematics?

Studying basic kinematics is important because it helps us understand and predict how objects will move. This knowledge is essential for many fields of science and engineering, such as physics, mechanics, and robotics.

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