# What is the magnitude of the average acceleration?

• williamx11373
In summary, acceleration is the rate of change of velocity over time, and is measured in meters per second squared (m/s²). Average acceleration is calculated by dividing the change in velocity by the change in time, and is represented by the formula a = (vf - vi) / t. It is different from instantaneous acceleration, which only considers the change at a specific moment in time. On a velocity-time graph, average acceleration is represented by the slope of the line connecting the initial and final velocity points, and can be affected by factors such as initial and final velocity, time interval, and external forces.
williamx11373
a rock is rolled in the sand and it starts at 5 meters/second, it moves in a straight line for a distance of 3 meters and then stops...what is the magnitude of the average acceleration.??

my attempt at this was to simply divide 5 by 3 giving me 1.6 m/s

is this correct ?

What are the units if you divide 5 m/s by 3 m?

To get you started, search your kinematics equations. Do you see one relating distance travelled, acceleration, and speed?

No, your calculation is not correct. The magnitude of average acceleration is not simply the ratio of initial velocity to distance traveled. It is a measure of the change in velocity over time. To calculate the average acceleration of the rock, we need to use the formula: average acceleration = (final velocity - initial velocity)/time. In this case, the final velocity is 0 m/s (since the rock stops) and the initial velocity is 5 m/s. We also need to know the time it took for the rock to travel the 3 meters. Without this information, we cannot accurately calculate the average acceleration.

## 1. What is acceleration?

Acceleration is the rate of change of velocity over time. It is a vector quantity and is measured in units of meters per second squared (m/s²).

## 2. How is average acceleration calculated?

Average acceleration is calculated by dividing the change in velocity by the change in time. It can be represented by the formula a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

## 3. What is the difference between average acceleration and instantaneous acceleration?

Average acceleration is the average rate of change of velocity over a period of time, while instantaneous acceleration is the acceleration at a specific moment in time. Average acceleration takes into account the entire change in velocity, while instantaneous acceleration only considers the change at one point.

## 4. How is average acceleration represented on a velocity-time graph?

On a velocity-time graph, average acceleration is represented by the slope of the line connecting the initial and final velocity points. If the line is horizontal, there is no acceleration. If the line is positive and sloping upwards, there is positive acceleration. If the line is negative and sloping downwards, there is negative acceleration.

## 5. What factors can affect the magnitude of average acceleration?

The magnitude of average acceleration can be affected by various factors, including the initial and final velocity, the time interval, and any external forces acting on the object. In general, the greater the change in velocity over a shorter period of time, the larger the magnitude of average acceleration will be.

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