Avelocity vs time graph is a graph that shows the relationship between the velocity of an object over time. is plotted on the x-axis in seconds, and the of the object is plotted on the y-axis in meters per second.

The velocity graph (v) with respect to time (t) (v on the y axis and t on the x axis) on  :

constant velocity motion shows a straight line parallel to the x-axis (= time)

uniformly accelerated motion shows a sloping straight line with gradient tan θ = a

Linear motion consists of 2: constant velocity motion with constant velocity and uniformly accelerated motion with constant acceleration

the speed of vo = v = constant

acceleration = a = 0

Δx = vt or x = xo + vt

An equation of constant velocity motion

x = distance = m

v = speed = m / s

t = time = seconds

The velocity graph (v) versus time (t) (v on the y axis and t on the x axis) shows a straight line parallel to the x axis (= time) because it has a constant speed

While the displacement of objects (Δx) is the area under the v-t line

V = vo + at

Vt² = vo² + 2a (x-xo)

x = distance on t

vo/vi = initial speed

vt/vf = speed on t /final speed

a = acceleration

Acceleration is a change in speed within a certain time interval

a = Δv /Δ t

The velocity graph with respect to time (v-t) in this motion will be in the form of sloping straight lines with a gradient of tan θ= a

For acceleration that is positive (a> 0) called accelerated motion, the graph is sloping upward, while for acceleration that is negative (a <0) called slowed down motion , the graph is sloping downward

The distance of the elevator

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resultant velocity

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the average velocity

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Keywords: constant velocity motion, uniformly accelerated motion, v-t graph, distance, speed, acceleration, straight lines

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