An object is moving with constant non-zero acceleration along the +x-axis.A graph of the velocity in the x direction as a function of time for this object isGroup of answer choicesa vertical straight linea straight line making an angle with the time axisnone of thesea horizontal straight linea parabolic curve
Question
An object is moving with constant non-zero acceleration along the +x-axis.A graph of the velocity in the x direction as a function of time for this object isGroup of answer choicesa vertical straight linea straight line making an angle with the time axisnone of thesea horizontal straight linea parabolic curve
Solution
The correct answer is "a straight line making an angle with the time axis".
Here's why:
When an object is moving with a constant non-zero acceleration, its velocity is continuously changing. This change in velocity is linear with respect to time because the rate of change (acceleration) is constant.
Therefore, when we plot velocity against time, we get a straight line. The line makes an angle with the time axis because the velocity is increasing or decreasing over time. If the acceleration was zero, the velocity would be constant and the line would be horizontal. But since the acceleration is non-zero, the line is not horizontal.
A vertical line would mean that the velocity is changing instantaneously, which is not possible with constant acceleration. A parabolic curve would mean that the acceleration is changing over time, which contradicts our assumption of constant acceleration. Therefore, these options are incorrect.
Similar Questions
If a velocity vs. time graph is a horizontal line above the time axis, what does the acceleration vs. time graph look like?Select one:a.A horizontal line at zerob.A curved linec.A line sloping upwardsd.A line sloping downwards
Suppose a graph of displacement of a body (x-axis) against time (y-axis) is constructed. The slope of the graph at any point may be identified asQuestion 6Answera.instantaneous accelerationb.instantaneous speedc.instantaneous velocityd.average velocitye.average acceleration
What can you say about the nature of motion of a body if its displacement-time graph is(a) a straight line parallel to time axis?(b) a straight line inclined to the time axis with an acute angle?(c) a straight line inclined to the time axis with an obtuse angle?(d) a curve?
An object is moving with a constant positive velocity along positive x-axis. Which of the following statement is true?Group of answer choicesposition – time graph will be a straight line with positive slopeAll statements in this list are incorrectposition -time graph will be a horizontal straight line with a slope of zeroposition-time graph will be a curve sloping upwardposition-time graph will be a curve sloping downward
What does the slope of the velocity-time graph give?a. speedb. velocityc. accelerationd. displacement
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.