| 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. |
|
A) \[1\text{ }m\text{ }{{s}^{-1}}\]
B) \[1.33\text{ }m{{\text{ }}^{s-1}}\]
C) \[\text{2}\text{.75 m }{{\text{s}}^{\text{-1}}}\]
D) \[\text{0}\text{.89 m }{{\text{s}}^{\text{-1}}}\]
Correct Answer: C
Solution :
Distance covered for dance step \[\text{CD=4m}\] Time taken for CD is greater than 1 s but less than 2s. Since, average speed\[\text{=}\frac{\text{total distance}}{\text{total time}}\] Therefore, average speed is less than \[4\text{ }m\text{ }{{s}^{-1}}\] but greater than\[\text{2m}{{\text{s}}^{\text{-1}}}\]. Hence, option (C) is correct.
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