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# Is acceleration the rate of change of the rate of change of position?

Updated: 6/6/2024

Wiki User

6y ago

no its speed that definds the rate change of position

Mortimer Welch

Lvl 10
2y ago

1mo ago

Acceleration is the rate of change of velocity with respect to time, not the rate of change of the rate of change of position. Velocity is the rate of change of position with respect to time.

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Q: Is acceleration the rate of change of the rate of change of position?
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### What is rate of acceleration?

The rate of change of velocity. (As velocity is the rate of change of position.)

### What is aceleration velocity?

Acceleration is the rate of change of velocity. It can be positive (speeding up), negative (slowing down), or zero (constant speed). Velocity is the rate of change of an object's position with respect to time.

### What is the difference between acceleration and velocity?

Velocity is the rate at which an object changes its position, while acceleration is the rate at which the velocity of an object changes. In other words, velocity is the speed and direction of motion, whereas acceleration is the change in speed or direction of motion.

### Why do take derivative?

To find rate of change. Two common examples are: rate of change in position = velocity and rate of change of velocity = acceleration.

### What is velocity's acceleration?

Velocity is the rate of change of position - i.e., the derivative of position with respect to time.Acceleration is the rate of change of velocity - i.e., the second derivative of position with respect to time.

### How is motion similar to acceleration?

If we replace "motion" with a similar term called "velocity", both are rates of change:* Velocity is the rate of change of position (the derivative of the position, with respect to time). * Acceleration is the rate of change of velocity (that makes it the second derivative of the position, with respect to time).

### What is the definition for the rate of motion?

The rate of motion refers to how quickly an object changes its position in a given amount of time. It is typically measured as the distance traveled by an object divided by the time it took to travel that distance. This rate can be expressed in units such as meters per second or kilometers per hour.

### What is velocity acceleration?

Velocity is the rate of change of an object's position with respect to time, indicating both speed and direction. Acceleration, on the other hand, is the rate of change of an object's velocity with respect to time, indicating how quickly an object's velocity is changing.

### What is the rate of change of acceleration?

Velocity is the rate of change of position; acceleration is the rate of change of velocity; jerk is the rate of change of accelerationSee related link below for information on "Jerk"

### How does acceleration affect position?

Acceleration affects position by changing the rate at which an object's velocity changes over time. When an object accelerates, its position changes at a non-constant rate. Greater acceleration leads to faster changes in position, while deceleration or negative acceleration causes a decrease in speed or a change in direction of movement.

### Is velocity the same as acceleration?

No, velocity and acceleration are not the same. Velocity is the rate of change of an object's position with respect to time, while acceleration is the rate of change of an object's velocity with respect to time. In other words, acceleration measures how quickly an object's velocity is changing.

### How is speed acceleration and velocity connected to motion?

Speed is the rate of motion, acceleration is the rate of change of velocity, and velocity is the rate of change of position. In other words, speed tells us how fast an object is moving, acceleration tells us how quickly the speed is changing, and velocity encompasses both the speed and direction of motion.