Two students, Priya and Sameer

PHYSICS · Multi-part · CBSE · Physics · Motion · Motion

Problem

Two students, Priya and Sameer, are asked to draw the speed–time graph for a toy train that moves at constant speed around a circular track. Their drawings are described below: • Graph P (Priya): a straight horizontal line at 4 m/s4\,\text{m/s} from t=0t=0 to t=30 st=30\,\text{s}. • Graph Q (Sameer): a straight line that starts at 2 m/s2\,\text{m/s} at t=0t=0 and reaches 6 m/s6\,\text{m/s} at t=30 st=30\,\text{s}. Answer the questions that follow. (i) Identify which graph correctly represents the speed–time relationship for the toy train. Give a reason for your choice. (ii) Point out the conceptual error in the incorrect graph. (iii) If the length of the circular track is 31.4 m31.4\,\text{m}, determine how many complete revolutions the toy train makes in 30 s30\,\text{s} using the correct graph.

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