The slope of the distance vs time graphs will give you the velocity (or speed)

It is true that velocity is the slope of a displacement vs time graph.

Work done by the force.

You can find the displacement of an object given a velocity-time graph, not an acceleration-time graph. The area under the shaded regions between the line and the time-axis represent the displacement during the stated time interval. Refer to the related link for an illustration.

Displacement is the area under the graph.

The slope of the function on a displacement vs. time graph is (change in displacement) divided by (change in time) which is just the definition of speed. A relatively steep slope indicates a relatively high speed.

Yes it does. Velocity = Displacement / Time. On a graph of displacement vs time, the slope is the velocity. Steeper slope = higher velocity, flatter slope = lower velocity.

distance vs time suggests velocity while distance vs time squared suggests acceleration

displesmen is scalar guantity

Yes, if you have a non-constant acceleration.

Nothing, as far as I understand, since the area under a displacement vs. time graph would be the integral of displacement, which doesn't exist.

False. The slope of a velocity vs time graph is acceleration

The total displacement divided by the time. The slope of the displacement vs. time graph.

False. The displacement vs time of an object going around in a circle around the point of reference, at high speed, will be a horizontal line - it will have zero gradient.

The slope of a line on a position vs. time graph would represent the a velocity of the object being described.

No. Velocity is displacement divided by time. Acceleration is velocity divided by time. However both graphs are related! If you graph the AREA under the slope of the acceleration graph vs. time, this will be a velocity graph. If you graph the SLOPE of the velocity graph vs. time, this will be an acceleration graph. When you learn calculus (unless you already know it) you will learn how you can switch between the two.

Plot distance vs time. Distance should be the y-axis, time the x-axis

The slope of the ant's displacement vs. time graph The total displacement divided by the time.

Velocity=m m=rise/run

Distance is a scalar and Displacement is a vector - a distance in a direction.

Yes―sort of. If displacement increases or decreases suddenly in an infinitely small point in time or a time interval that is too small to graph, a vertical line is used.

The slope of that graph at each point is the speed at that instant of time.

acceleration/decceleration it is the second derivative of a displacement vs time function

The curved line on a time vs. distance graph represents that the object is accelerating.

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