Physics

Problem

A toy car moves along a straight track as described below: • It stays at a fixed point

2\,\text{m}

from the origin from

t=0\,\text{s}

t=3\,\text{s}

. • It then travels uniformly and reaches

14\,\text{m}

t=7\,\text{s}

. • After that, it again remains at the same position till

t=10\,\text{s}

. Answer the following questions. a. (i) Draw a position–time graph for the entire motion, taking suitable scales on both axes. b. (ii) What physical quantity is represented by the slope of the graph during the interval

3\,\text{s}

7\,\text{s}

? Explain briefly. c. (iii) Is the motion of the car uniform over the whole

10\,\text{s}

? Give reason based on the graph you have drawn. d. (iv) Identify the time interval(s) during which the speed of the car is zero.

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