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Physics

Algebra

Newtons Laws of Motion

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If an object is sustaining a constant velocity it has 0 acceleration, because acceleration is either increasing or decreasing speed.

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0Yes. An object moving at constant velocity would have zero acceleration.

Acceleration is the rate of change of velocity, a=dv/dt Therefor if a= 0 the velocity is constant or constantly the same. It can have any value however while it remains the same.

Yes, for example, a car moving at constant speed.

Definitely. Acceleration is defined as a change in velocity, so as long as the velocity doesn't change, acceleration is zero.

Because an acceleration is a CHANGE in speed or direction.

A body can have a constant speed yet a nonzero acceleration when it is in a circular motion because though it is having a constant speed but the direction in which it is moving keeps changing at each instance and since acceleration is a vector quantity,it becomes non-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.

Yes. This happens, for example, when you throw an upject directly up, and it reaches its highest point. In that case, its velocity is zero, and its acceleration is -9.8. (If it didn't have acceleration, it would stay up there.)

No, you cannot have a zero displacement and a nonzero average velocity. If the object has not moved any where how can you attain a nonzero velocity? You cannot.

Yes. As long as the inital and end positions are different, you will have a nonzero average velocity.

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.

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,

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.

It will plot as a straight line.

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.

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

Yes, but only for an instant.

Essentially NO. We can only perceive motion and acceleration, when they change, but all we really see is apparent motion and apparent acceleration, for they are observed with respect to the remainder of the Universe. Without complete information on that state, we cannot be certain the observed item has no change of state. In the specific state of a body rotating around another such; as a geostationary satellite; then the velocity appears zero (relative to our position), but as measured on the satellite, it will be subject to a constant non-zero acceleration. Due to the centripetal force. [And indeed, the Earth is subject to the same centripetal force - but so tiny compared to Earth gravity as to be not detectable. ]

Any number that doesn't change is a constant. Some famous ones are the gravitational constant, the speed of light in a vacuum, and Planck's constant.

Lets break down this question: if you think about it in plain English, it's rather simple. Velocity is and object's speed in a given direction. Acceleration is a change in velocity, which can be either positive or negative. Simply put, can an object be moving, without speeding up or slowing down? Absolutely. Think a car with the cruise control on. Good luck with the rest of the homework.

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.

A particles velocity can be zero by way of a repulsion force stopping it from any initial velocity greater than zero.....The particle will then obtain a velocity in opposite direction if repulsion force is maintained. The crossover of the two velocities is zero. Submitted...Ed kobek bsee northwestern U.

No because velocity defined as speed in a given direction so if speed is 0 then velocity must also be 0

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