| Direction: Read the passage carefully and answer the following questions. A dancer is demonstrating dance steps along a straight line. The position-time graph of the dancer is given here. |
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A) \[1\text{ }m\text{ }{{s}^{-1}}\]
B) \[-\text{ }0.57\text{ }m\text{ }{{s}^{-1}}\]
C) \[2.75\text{ }m\text{ }{{s}^{-1}}\]
D) \[-\text{ }0.29\text{ }m\text{ }{{s}^{-1}}\]
Correct Answer: D
Solution :
During time interval t = 2 s to t = 9 s, six dance steps namely AB, BC, CD, DE, EF and FG have been demonstrated by the dancer. Total displacement \[=(0-2)=-2\text{ }m\] Total time taken \[=9-2=7s\] Average velocity\[=\frac{\text{total displacement}}{\text{total time taken}}\] Thus, average velocity\[=\frac{-2}{7}=-0.29m\text{ }{{\text{s}}^{-1}}\]
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