The distance travelled is approximately equal to the area under the velocity-time graph. Estimating the areas of the trapeziums from the graph gives a total distance of approximately 45 km.
A girl is preparing for her first marathon by running on a straight road. She uses a smartwatch to calculate her running speed at different intervals. The graph (Fig. 4.31) depicts her velocity versus time. Estimate the distance she ran based on the graph.
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The distance travelled by the girl is given by the area under the velocity-time graph. We divide the graph into convenient trapeziums and estimate their areas using the velocities at different times. Adding these areas gives the approximate distance covered during the run. From the values shown in Fig. 4.31, the girl ran approximately 45 km. Therefore, her estimated distance travelled is about 45 km.
For more NCERT Solutions of Class 9 Science Exploration Chapter 4 Describing Motion Around Us Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/science/exploration-chapter-4/