Q: A car must always have an acceleration in the same direction as its velocity?

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Yes, it's acceleration will be zero because the velocity isn't changing, but it has an acceleration. Think of it in terms of integration and derivation. Acceleration is the derivative of velocity, so if velocity is a constant number the acceleration must be zero.Generally if value of acceleration is "zero", we consider it to mean that there is NO acceleration. The question that was actually answered above was "Can acceleration be DEFINED fora body moving at constant speed?"It is possible for an object to be moving at a constant angular speed and yet have an effective acceleration in a tangential direction.===========================================Both of you guys are missing the most important point here, with the resultthat you have to twist your own arm almost to the point of dislocation in orderto state an answer.The essential underlying consideration is that, contrary to popular misconception,"acceleration" does not mean 'speeding up', or even 'changing speed'. It means"change in velocity", and "velocity" means "speed anddirection". If either speedor direction change, then that means there is 'acceleration'.The answer to the question is simple, and almost entirely non-technical. It is:"Yes, because 'acceleration' means change of either speed or direction. So, ifthe direction of the body's motion is changing, then the body has acceleration,even if its speed is constant."

Changing at a constant rate equal to acceleration.

Acceleration is scientifically defined as a change in velocity, not an increase in speed. Thus slowing down, speeding up, or changing direction are all forms of accelerating. If one is moving at a constant speed, then the only way to accelerate would be to change direction.

the formula for finding acceleration is final velocity, minus initial velocity, all over time. So if you have the acceleration and initial speed, which is equal to the initial velocity, you must also have time in order to find the final velocity. Once you have the time, you multiply it by the acceleration. That product gives you the difference of the final velocity and initial velocity, so then you just add the initial velocity to the product to find the final velocity.

Absolutely. That's exactly the situation of a rubber ball that was tossed straight up, at the instant when it's at the top of its arc. Any object that's not connected to anything else and is rising or falling has constant acceleration ... the acceleration of gravity. If it was originally launched upward, then it eventually runs out of steam, stops, reverses direction, and starts moving down. At that instant during its constant acceleration, its velocity is zero.

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Acceleration is defined as the change in velocity, and is a result of a force being applied on the object in question. Acceleration will not always result in an object changing direction, but it is capable of it (in the case of centripetal acceleration, all it does is change the direction.) Acceleration is a vector, therefore a direction must always be given when a value is stated.

An object can have only one velocity at any point in time. That velocity can have components in two (or more) directions.If acceleration is constant (but non-zero), then the velocity in any direction other than perpendicular to the direction of the acceleration must change.

Yes, it is possible. When a body moves in a circular path at a constant speed, its velocity changes direction continuously, but its magnitude remains constant. In this case, the acceleration is constant in direction and magnitude, since it is always directed towards the center of the circular path.

An object can have only one velocity at any point in time. That velocity can have components in two (or more) directions.If acceleration is constant (but non-zero), then the velocity in any direction other than perpendicular to the direction of the acceleration must change.

Yes, changing direction involves acceleration because acceleration is the rate of change of velocity. When an object changes direction, its velocity changes, which means it is experiencing acceleration.

Unless the object is changing its direction, it is not accelerating. Constant velocity implies that speed and direction are constant, and for acceleration to occur, either speed, direction, or both values must be changing.

To change velocity, an object must undergo acceleration. Acceleration is the rate of change of velocity with respect to time. This can be achieved by applying a force on the object in the direction of desired velocity change.

The object's acceleration must be in the negative direction, opposing its velocity in the positive direction. This negative acceleration is also known as deceleration and causes the object to slow down.

No, a body cannot have velocity in one direction and acceleration in the opposite direction simultaneously. Velocity and acceleration must be in the same direction for consistent motion.

No, if velocity is increasing then acceleration cannot remain constant. Acceleration is the rate of change of velocity, so if velocity is increasing, then acceleration must also be changing to cause that increase in velocity.

No. It is a matter of definition. Acceleration is defined as a change of velocity. Technically, one must distinguish between velocity and speed. Velocity is a vector and includes the information about the magnitude (speed)and direction. One can have a constant speed and an acceleration (as in circular motion) but, by definition, constant velocity means zero acceleration.

A moving body must undergo a change in its velocity to show acceleration. Velocity is a vector quantity that includes both speed and direction so any change in speed, direction, or both constitutes a change in velocity, resulting in acceleration.