Question

This graph depicts an object that has _____. positive acceleration constant velocity negative acceleration no acceleration

Answer 1

The object has a positive acceleration

Explanation:

The graph in the question is missing; find it in attachment.

The acceleration of an object is defined as the rate of change in velocity of the object:

$a=\frac{\Delta v}{\Delta t}$

where

$\Delta v$ is the change in velocity

$\Delta t$ is the change in time

We can verify that in a velocity-time graph, the acceleration corresponds to the slope of the graph. In fact, the slope is given by:

$m=\frac{\Delta y}{\Delta x}$

where

$\Delta y$ is the change in the y-variable, so it is the change in velocity, $\Delta v$

$\Delta x$ is the change in the x-variable, so it is the change in time, $\Delta t$

Which means that the slope is equal to the acceleration:

$m=\frac{\Delta y}{\Delta x}=\frac{\Delta v}{\Delta t}=a$

In this problem, the slope of the curve shown in the velocity-time graph in the figure is positive: therefore, this means that the object has a positive acceleration.

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Answer 2

Answer: It's "positive acceleration" I got the same question and got it right.