Question

A velocity vs. time graph for an object is shown.

Which best describes the acceleration of the object?

constant and positive
constant and negative
changing and positive
changing and negative

Answer 1

Answer: constant and positive

Step-by-step explanation:

Acceleration is the rate of change of velocity. It can be measured in meter per second square.

`a = (dv)/(dt)`

It can be measured from the slope of velocity - time graph.

In the given velocity vs. time graph, the slope is a straight line in the first quadrant. This means the acceleration is uniform (constant) and positive.

Acceleration from the given graph is:

a = change in velocity /time interval = (5-0)m/s/(5-0)s = 1 m/s².

Answer 2

The correct answer is constant and positive

Explanation:

The velocity is changing with respect to time at constant rate and we know that the change in velocity is known as acceleration so a constant change in velocity with respect to time will give us a constant acceleration. Similarly the velocity is gradually increasing that is why we will take the acceleration as positive .