0
8.0kviews
Explain x-t, v-t and a-t curves in Kinematics
1 Answer
0
205views

x-t graph:-

enter image description here

-Position-time graph shows the position of an object at a given time. (t)

-For uniform acceleration, the curve is parabolic represented by the equation,

$ x=ut+\dfrac 12 at^2 $ (u= initial velocity)

-The slope of the tangent at any point represents the velocity of the object at that point.

enter image description here

enter image description here

-Velocity-time graph shows velocity of an object at a given time.

-For a uniformly accelerated body, the curve is a straight line given by $v=u+at.$

-The slope of a tangent at any point gives the acceleration at that time.

-The area under the curve between the time interval $t_1$ and $t_2$ gives the displacement of the object at that time interval.

enter image description here

enter image description here

-The a-t graph gives us the acceleration at a particular time.

-For a uniform acceleration, the curve is a straight line parallel to the time axis.

-The area under the curve between two time intervals gives us the velocity of the object between that intervals.

Please log in to add an answer.