Acceleration can be calculated **by dividing the change in velocity (measured in metres per second) by the time taken for the change (in seconds)**. The units of acceleration are m/s/s or m/s ^{2}.

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## What is the acceleration of a body from a velocity time graph?

Acceleration is determined by the slope of time-velocity graph. If the time velocity graph is a straight line, **acceleration remains constant**. If the slope of the straight line is positive, positive acceleration occurs. If the slope of the straight line is negative, negative acceleration or retardation occurs.

## What is the relationship of acceleration to velocity time graph?

It was learned earlier in Lesson 4 that **the slope of the line on a velocity** versus time graph is equal to the acceleration of the object. If the object is moving with an acceleration of +4 m/s/s (i.e., changing its velocity by 4 m/s per second), then the slope of the line will be +4 m/s/s.

## Does constant velocity mean no acceleration?

If an object is changing its velocity -whether by a constant amount or a varying amount – then it is an accelerating object. And **an object with a constant velocity is not accelerating**.

## How do you interpret a velocity-time graph?

The principle is that **the slope of the line on a** velocity-time graph reveals useful information about the acceleration of the object. If the acceleration is zero, then the slope is zero (i.e., a horizontal line). If the acceleration is positive, then the slope is positive (i.e., an upward sloping line).

## Is constant velocity equal to acceleration?

Constant velocity means **the acceleration is zero**. The change in velocity over a certain time interval equals the area under the acceleration graph over that interval.

## Can acceleration change if velocity is constant?

If an object is changing its velocity -whether by a constant amount or a varying amount – then it is an **accelerating object**. And an object with a constant velocity is not accelerating. The data tables below depict motions of objects with a constant acceleration and a changing acceleration.

## Are velocity and acceleration directly proportional?

**Velocity is directly proportional to time when acceleration is constant** (v ∝ t). Displacement is proportional to time squared when acceleration is constant (∆s ∝ t^{2}).

## What does constant acceleration look like on a velocity vs time graph?

In a velocity-time graph, acceleration is represented by **the slope, or steepness**, of the graph line. … If the line is horizontal, as it is between 4 and 7 seconds, velocity is constant and acceleration is zero.

## How do you find velocity with time and position?

Average velocity can be calculated from a **position-time graph as the change in position divided by the corresponding change in time**.

## What does the slope of a velocity-time graph indicate?

The slope of a velocity-time graph reveals **information about an object’s acceleration**.

## Does 0 velocity mean 0 acceleration?

In option (C), **zero velocity does not imply that the acceleration is zero**. For e.g., when a ball is released from a height, its velocity will be zero but the acceleration exerted due to gravity will be non-zero so option (C) is correct. In option (D), constant speed does not imply that acceleration is zero.

## What is the formula for velocity and acceleration?

Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation **a = Δv/Δt**. This allows you to measure how fast velocity changes in meters per second squared (m/s^2). Acceleration is also a vector quantity, so it includes both magnitude and direction.

## Is 0 a constant velocity?

Constant velocity means **the acceleration is zero**. … In this case the velocity does not change, so there can be no area under the acceleration graph.

## What happens to acceleration when velocity increases?

When an object is speeding up, **the acceleration is in the same direction as the velocity**. Thus, this object has a positive acceleration.

## Can an object have zero velocity and still be accelerating?

Answer: **Yes**, an object can have zero velocity and still be accelerating simultaneously. … While observing the object, you will find that the object will continue to move forward for some time and then stops instantly. Then the object will start to move in the backward direction.