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Motion - Graphical Representations

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Published in: Physics
6,758 Views

Distance Time Graphs

Anita Y / Gurgaon

7 years of teaching experience

Qualification: Masters in physics

Teaches: Mathematics, Physics

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  1. Motion (Graphical representations) Class9 By Anita yadav
  2. Distance- time graph- ' When an object is moving with uniform velocity, the slope of graph is always a straight line. In other words slope of straight line of a distance-time graph shows that object is moving with uniform velocity.
  3. Graph- In the above graph, straight slope line shows that object is moving with uniform velocity. Slope 0B shows the velocity of the object. 10 60 50 40 30 20 o 2 Distance - Time Graph 4 6 8 10 12 16 18 Time in second -.........................................................................................................>
  4. Calculation of velocity using Distance time graph- Distance - Time Graph 60 50 S2 40 30 20 10 2 It2 4 6 8 10 12 16 18 Time in second ....1...................................................................>
  5. Calculation- Distance time graphl ' To calculate the velocity, let take two points A and B on the slope OB. Draw one line parallel to y-axis and another parallel to x-axis from B. Again draw a line parallel to y-axis and another parallel to x-axis from point A. ' Let, line parallel to x-axis from point B cut at a point, S2 at y-axis. Line parallel to x-axis from point A cut at point, Sl at y-axis. ' Let, line parallel to y-axis from point B cut at t2 at x-axis. Line parallel to y-axis from point A cut at tl at x-axis.
  6. Calculations cont. We know that slope of the graph is given by the ratio of change in y-axis and change in X- axis. Or, Slope = (text{Change in y-axis})/(text{Change in x-axis))' BC Thus, slope, AB Or, v t2 tl Where, velocity, (s2 Sl) = interval of distance and (t2 tl) = Distance Thus, velocity Time time interval
  7. S-t graph of uniformly accelerated body ' Distance — Time Graph of a body moving with Accelerated motion: ' When graph of distance Vs time is plotted for an object moving with accelerated motion, i.e. with increasing non-uniform speed, the slope of graph will not be a straight line. The rising trend of slope shows the increasing trend of velocity.
  8. Graph Distance - Time Graph of an object in accelerated motion 10 60 50 40 30 20 o 2 10 12 16 18 Time in second ....1....................................................................................>

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