The SLOPE of the line on a distance/time graph is the object’s speed. If the graph is curved, then its slope is changing. That means the object’s speed is changing. That means the object is accelerating.

Method 1: Using the position data (distance versus time graph). So, 1/2 a = 1.412 so then a is 2*1.412 =2.824 – thus we have obtained the acceleration from the position graph.

A velocity-time graph shows changes in velocity of a moving object over time. The slope of a velocity-time graph represents acceleration of the moving object.

No. A vertical section in a position-time graph would mean that the object (assumed to be a point particle) occupies more than one position at the same time. This is not possible. It can occupy one position at many different times, but it cannot occupy more than one position at one instant in time.

In a position-time graph, the velocity of the moving object is represented by the slope, or steepness, of the graph line. If the graph line is horizontal, like the line after time = 5 seconds in Graph 2 in the Figure below, then the slope is zero and so is the velocity. The position of the object is not changing.

A vertical line on a speed – time graph indicates infinite increase in velocity in no time which is not feasible.

What does the vertical axis represent on an acceleration graph? The vertical axis represents the acceleration of the object. For example, if you read the value of the graph shown below at a particular time, you will get the acceleration of the object in meters per second squared for that moment.

Answer: No never !!! Because it would correspond to zero Instantaneous acceleration….

A straight diagonal line indicates the object’s velocity is changing. In the graph on the left, the line sloping upwards shows the object is accelerating and the line sloping downwards in this case towards v = 0, shows it is decelerating.

The slope of a position graph represents the velocity of the object. So the value of the slope at a particular time represents the velocity of the object at that instant.

How do you walk to creat a straight line that slopes down? You are moving slow and steady towards. How do you move so the graph goes up steeply at first, and then continues up gradually? At first you move away quickly at a steady pace, and then you keep moving back, but slowly at, at a steady pace.

Velocity is a description of both speed and direction therefore it is________ the same as acceleration. a vector.