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Can a situation exist in which an object has zero acceleration and nonzero velocity even for an instant?
No, if an object has zero acceleration, its velocity cannot be changing. If the velocity is nonzero, it must either be increasing or decreasing, which requires acceleration.
Do you agree with the statement an object with a zero velocity can have an acceleration greater than zero do you agree?
Yes. If it weren't so, an object that isn't moving could never be made to move at all! Of course, once you apply acceleration (which implies a change of velocity), the object's velocity won't stay zero. But for a brief instant, the velocity can be zero while accelerating.
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.
What happens to an object in motion when it experiences a nonzero net force?
its velocity will change by accelerating in the direction of the force
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.
Can an object have zero velocity and nonzero acceleration?
Yes, an object can have zero velocity and nonzero acceleration. This occurs when the object is changing its direction but not its speed. For example, in circular motion, the object's velocity is constantly changing direction, leading to a nonzero acceleration even when its speed is constant.
Can a situation exist in which an object has zero acceleration and nonzero velocity even for an instant?
No, if an object has zero acceleration, its velocity cannot be changing. If the velocity is nonzero, it must either be increasing or decreasing, which requires acceleration.
Do you agree with the statement an object with a zero velocity can have an acceleration greater than zero do you agree?
Yes. If it weren't so, an object that isn't moving could never be made to move at all! Of course, once you apply acceleration (which implies a change of velocity), the object's velocity won't stay zero. But for a brief instant, the velocity can be zero while accelerating.
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.
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.
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 a body have nonzero average speed but have zero average velocity give example?
Yes, a body can have a nonzero average speed but zero average velocity if it moves around a closed path and returns to its starting point. For example, if a car travels around a circular track at a constant speed, its average speed will be nonzero (as distance is covered), but its average velocity over the entire trip will be zero as the displacement is zero.
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.
What happens to an object in motion when it experiences a nonzero net force?
its velocity will change by accelerating in the direction of the force
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 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.
