Table of Contents
Does velocity have to be continuous?
Constant velocity vs acceleration To have a constant velocity, an object must have a constant speed in a constant direction. For example, a car moving at a constant 20 kilometres per hour in a circular path has a constant speed, but does not have a constant velocity because its direction changes.
Does constant velocity mean 0 m s?
A car moving with a constant velocity has an acceleration of 0 m/s/s. The velocity-time data and graph would look like the graph below.
Is velocity continuous or discrete?
Discrete variables are those that can take only a finite number of values. This is not so for speed of an airplane. as it changes from time to time. Hence, speed of an airplane is continuous.
Is it possible to have snap without jerk?
Mathematically jerk is the third derivative of our position with respect to time and snap is the fourth derivative of our position with respect to time. Acceleration without jerk is just a consequence of static load. So there must be some snap involved. But the snap does not suddenly switch on, it also grows from zero.
What is the velocity if time is 0?
The instantaneous velocity is shown at time t0 , which happens to be at the maximum of the position function. The slope of the position graph is zero at this point, and thus the instantaneous velocity is zero.
What does it mean if velocity is zero?
While velocity is a measure of speed in a vector, acceleration measures the change of speed (also in a vector). If velocity is 0 , that means the object is not moving, but with acceleration present, there is a force acting on the object.
Are velocity graphs continuous?
If at some time t there were a discontinuity in the velocity-time graph, then the acceleration would be infinite at t. So intuitively, it seems that the velocity-time graph must be continuous.
Is acceleration always continuous?
Whenever there is a change in velocity, either due to a change in speed or a change in direction, there will be non-zero acceleration. Acceleration is not constant if the net force is not constant.
Is it possible to move 10 m/s and have 0 velocity?
So technically speaking yes, you might be moving 10 m/s in X direction and your velocity in Y direction can be 0, but typically those terms would not be mixed as it’s confusing. Velocity can also be given as a vector, so basically same as your speed.
What happens if the velocity of a moving object is zero?
The answer depends on whether the question is asking about instantaneous velocity and speed or about average velocity and speed. At any given moment, if the velocity is zero, that necessarily means the speed is zero, since velocity is vector defined by its magnitude (speed) and direction of travel.
Why is velocity continuous for physical objects?
The fact that velocity always is continuous for physical objects is a stronger statement. To see that it is true, we need to observe that velocity can be differentiated again to get acceleration, because Newton’s second law relates it to the force on the object. For any finite amount of acceleration, you will pass through all intermediate speeds.
Is it possible for a person to have 4 m/s speed?
Yes it could be possible. If a person left a place A with uniform speed 4 m/s towards some arbitrary point B, now instantly he left B with same uniform speed 4 m/s and arrived at A then the average speed of the person is 4 m/s (nonzero), but the average velocity is zero because the net displacement of the person in his journey is zero.