Class 9 > Unit # 02: Kinematics > Graphical Analysis of Motion

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Unit No. 2 Kinematics - Distance-Time & Speed-Time Graphs

Q. Describe Distance-Time Graph for (i) Uniform Speed (ii) Variable Speed (iii) Object at rest

• (i) Uniform Speed: When a body travels with uniform speed, the distance-time graph is a straight line. The gradient of the distance-time graph is numerically equal to speed.
  Figure: Distance-Time Graph for Uniform Speed (Straight Line)
• (ii) Variable Speed: When a body travels with non-uniform speed, the distance-time graph is a curve.
  Figure: Distance-Time Graph for Variable Speed (Curve)
• (iii) Object at Rest: When the body does not change its position, the graph line is parallel to the time axis.
  Figure: Distance-Time Graph for Object at Rest (Parallel to Time Axis)

Q. Describe Speed-Time Graph for (i) Zero Speed (ii) Uniform Speed (iii) Variable Speed

• (i) Zero Speed: When the body does not change its position (zero speed), the graph line is parallel to the time axis at zero (along the time axis).
  Figure: Speed-Time Graph for Zero Speed
• (ii) Uniform Speed: When the body has uniform speed, the graph line is parallel to the time axis and the total distance covered is given by the area under the curve.
  Figure: Speed-Time Graph for Uniform Speed (Area under the curve gives distance)
• (iii) Variable Speed: When the speed of the body is increasing uniformly, the graph is a straight line sloping upwards, and the area of the triangle formed under the graph represents the distance covered.
  Figure: Speed-Time Graph for Variable Speed (Increasing Speed)

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