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Can object have zero acceleration and nonzero velocity at the same time.give example?
Wiki User
∙ 12y ago
Yes, for example, a car moving at constant speed.
Wiki User
∙ 12y ago
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Can an object have a zero velocity and a nonzero acceleration at the same time?
Yes. For example, if you throw an object up into the air, this will happen when it reaches the highest point. At that moment, its velocity is zero; on the other hand, at any moment, the object is accelerating downward at 9.8 meters per square second.
How is it possible to be accelerating and traveling at a constant speed?
Acceleration is the change in velocity with respect to time. Velocity is the change in position with respect to time (not the change in speed with respect to time, as you have written). Both acceleration and velocity are vector quantities, which means they have both a magnitude and a direction. Speed is simply the magnitude of the velocity. (It's what's called a "scalar" quantity, which is just a number without an associated direction.) An object can have a constant speed, but its direction of motion can be changing over time, so it's velocity is changing. The resulting nonzero change in velocity per unit time is the acceleration. An object need not be moving in a circle to meet these conditions. An object that moves at constant speed, but follows any path that is not a straight line must experience an acceleration. A circular path (like a satellite's orbit) is simply one example example of this.
Can a situation exist in which an object has zero velocity and nonzero acceleration?
Imagine throwing a ball upwards. It slows down(negative acceleration), and is eventually brought to a stop for a moment before starting to accelerate downwards. Keep in mind that throughout the entire journey there is a downward acceleration of g(9.81 m s-2) acting on the ball, even at that moment where the ball stopped mid-air. Of course that condition was only temporary, but it is still possible nonetheless.
Can object have zero acceleration and nonzero velocity at the same time and give examples?
If an object has zero acceleration, its velocity doesn't have to be zero. Acceleration is a measure of the change in velocity over time. Zero acceleration means there is no change in velocity over time, namely constant velocity. Constant velocity can be any velocity (including zero velocity or "at rest"), so the object's velocity doesn't have to be zero to have zero acceleration.
Can an object have a speed of 0 while it has an acceleration that is not 0?
Yes. Acceleration is independent of speed. A perfect example of an object with zero speed but nonzero acceleration is an object at the apex of being thrown upward. The entire time it is in the air it is accelerating downward. At its maximum height its speed is zero.
Can an object have zero velocity and nonzero acceleration?
Yes. An object moving at constant velocity has zero acceleration. The constant velocity van be any constant including zero velocity. Mathematics acceleration a=dv/dt = 0. Solving this gives v = constant.
Can you have a nonzero average velocity?
Yes. As long as the inital and end positions are different, you will have a nonzero average velocity.
Can an object have a zero velocity and a nonzero acceleration at the same time?
Yes. For example, if you throw an object up into the air, this will happen when it reaches the highest point. At that moment, its velocity is zero; on the other hand, at any moment, the object is accelerating downward at 9.8 meters per square second.
Is it possible for an object to be accelerating even though it has stopped moving?
No. A nonzero acceleration means that the velocity is changing, so it can only have a 0 velocity at a single point in time, such as when a ball thrown in the air reaches its peak.
If the velocity of a particle is nonzero can the particle's acceleration be zero?
yes. If the forces acting on the a moving particle are in equilibrium, (e.g. when a spherical object reaches terminal velocity (neglecting increased air resistance as it gets closer to the ground)) then the particle will be moving at a velocity, that is not 0, yet the velocity will remain constant, and the body will not accelerate or decelerate in any direction, and thus the acceleration is 0.
How is it possible to be accelerating and traveling at a constant speed?
Acceleration is the change in velocity with respect to time. Velocity is the change in position with respect to time (not the change in speed with respect to time, as you have written). Both acceleration and velocity are vector quantities, which means they have both a magnitude and a direction. Speed is simply the magnitude of the velocity. (It's what's called a "scalar" quantity, which is just a number without an associated direction.) An object can have a constant speed, but its direction of motion can be changing over time, so it's velocity is changing. The resulting nonzero change in velocity per unit time is the acceleration. An object need not be moving in a circle to meet these conditions. An object that moves at constant speed, but follows any path that is not a straight line must experience an acceleration. A circular path (like a satellite's orbit) is simply one example example of this.
How is it possible to accelerating and traveling at a constant speed?
Acceleration is the change in velocity with respect to time. Velocity is the change in position with respect to time (not the change in speed with respect to time, as you have written). Both acceleration and velocity are vector quantities, which means they have both a magnitude and a direction. Speed is simply the magnitude of the velocity. (It's what's called a "scalar" quantity, which is just a number without an associated direction.) An object can have a constant speed, but its direction of motion can be changing over time, so it's velocity is changing. The resulting nonzero change in velocity per unit time is the acceleration. An object need not be moving in a circle to meet these conditions. An object that moves at constant speed, but follows any path that is not a straight line must experience an acceleration. A circular path (like a satellite's orbit) is simply one example example of this.
How does vector calculus apply in fluid mechanics?
The velocity at each point in the fluid is a vector. If the fluid is compressible, the divergence of the velocity vector is nonzero in general. In a vortex the curl is nonzero.
Can a body resting on a table have zero velocity and nonzero acceleration?
It depends on the frame of reference (where it is).On Earth a body on a table is still rotating around the centre of the Earth. This implies a change of direction and thus having a velocity around the centre and an acceleration acceleration due to centripetal force that makes a body follow a curved path. Eben without this the body is orbiting the sun with the same impact
Can a situation exist in which an object has zero velocity and nonzero acceleration?
Imagine throwing a ball upwards. It slows down(negative acceleration), and is eventually brought to a stop for a moment before starting to accelerate downwards. Keep in mind that throughout the entire journey there is a downward acceleration of g(9.81 m s-2) acting on the ball, even at that moment where the ball stopped mid-air. Of course that condition was only temporary, but it is still possible nonetheless.
Can a body have nonzero average speed but have zero average velocity give example?
An object moving in a circular path at constant speed will have a non-zero average speed and zero average velocity since velocity is a vector parameter,
Can object have zero acceleration and nonzero velocity at the same time and give examples?
If an object has zero acceleration, its velocity doesn't have to be zero. Acceleration is a measure of the change in velocity over time. Zero acceleration means there is no change in velocity over time, namely constant velocity. Constant velocity can be any velocity (including zero velocity or "at rest"), so the object's velocity doesn't have to be zero to have zero acceleration.
