Friday, January 8, 2010

Can an object have a constant speed and at the same time a varying velocity?

It happens when an object is moving at constant speed along a curved path (like a circular motion at constant speed).


Speed only tells how fast is moving any object, but velocity is determined by speed and the direction of speed. In a curve path an object that is moving at constant speed, the direction is changing all the time.Can an object have a constant speed and at the same time a varying velocity?
Yes. Because velocity is speed that has a definite direction. 20 mph is a speed but 20 mph due east is a velocity, so by varying your direction you also vary your velocity. If traveling in a straight line, velocity is a simple equation with vrepresenting velocity, s the speed and t the the time interval (';per hour'; in most cases).


Looks like this


v=s/t (within a defined direction or vector)





Speed, within a determined vector or direction, is a measurement of velocity.





To get really confused, go to wikipedia and enter velocity and read the entire article. G'day!Can an object have a constant speed and at the same time a varying velocity?
An object's velocity is defined as its speed and direction. Since it is possible for an object to have a constant speed while changing direction; the answer is yes it is possible.
Speed is a scalar value and velocity can be assigned direction. Let us say that an object is traveling along a line, any line. It's speed along that line is given by the distance covered along that straght line divided by the time it takes to travel along that distance.





Now, let's say that object is also moving perpendicular to that same line, going away from the line and then returning to go in the opposite direction perpendicular only to return again. It is oscillating about the line as it travels with the same speed described above.





The speed remains the same for both scenarios in the direction of the line. The velocity, however, does change. The Velocity would be defined in the first scenario as the vector equivalant of the speed. So, speed and velocity would be the same value in the first scenario. In the second scenario, the velocity would be the same as in the first scenaio for the direction along the line, PLUS the added velocity of the motion perpendicular to our original line, which would be some function which I am sure you will be encountering soon.





Hope this helps.
Yes. If the object has a constant speed but it is changing its DIRECTION while moving, then its velocity is changing; Velocity is a vector. Vectors have magnitude (number value and a unit) and a direction.

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