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no. see the definition of acceleration. it can remain a constant speed while the velocity changes.

*Edit* Actually, the answer is yes. The algebraic formula for acceleration is displacement over time but you are only thinking in terms of linear motion, or in the case of this scenario, a straight road. But when the car follows the road as it snakes or rounds a bend its acceleration is changing even if its speed is not.

A more specific definition of acceleration is the change in velocity over the change in time. Velocity is a measurement of speed but with a direction and when an object goes into a circular motion path (or any motion path that isn't linear) its velocity is continually changing and a change in velocity means a change in acceleration.

Plainly put, if the car turns a corner with a constant speed, the magnitude is constant but the acceleration vector is not.

Q: Can the car accelerate if the speedometer of a car indicates a constant speed?

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yes an acceleration is a change in speed and when you go around a corner you change your speed.

A horizontal line on a speed vs time graph indicates constant speed.

Yes, it's direction may be constantly changing which would mean it is still accelerating.

Yes. The slope, or rate, is constant. The rate being represented is speed. If the slope is a negative constant, the object is losing distance (going towards) from the orgin at at a constant speed.

Because a slope of zero indicates that the y-value (speed) isn't changing.

Related questions

It is a speedometer.

Speedometer

It indicates the speed of the car.

That would be called the speedometer.

That would be called the speedometer.

No, a particle cannot accelerate if its speed is constant. Acceleration is the rate of change of velocity, and if the speed (magnitude of velocity) remains constant, then the acceleration is zero.

No, a car does not accelerate when rounding a curve at a constant speed. Acceleration occurs when there is a change in speed or direction. In this case, the car is moving at a constant speed but is changing direction, not accelerating.

Light does not accelerate in the traditional sense, as it always travels at a constant speed of approximately 299,792 kilometers per second in a vacuum. This speed is a fundamental constant in physics known as the speed of light.

Yes. A straight line indicates constant speed =dy/dt= kt.

no

No, an object cannot accelerate and have a constant speed at the same time. Acceleration is a change in velocity, which includes speed or direction. If an object has a constant speed, it means there is no acceleration occurring.

Acceleration is the derivative of velocity, meaning a change in velocity. Velocity is a vector, comprised of magnitude and direction, that is speed and where you are heading. Thus, turning, changing lanes, flipping the car while on cruise control, etc, would all comprise a change in velocity (specifically the direction) and thus is an accelaration.