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The velocity time graph of a particle moving along a straight line is shown in the figure. In the time interval from `t=0` to `t=8` second, answer the following three question. The value of `("magnitude of maximum velocity")/("magnitude of average velocity")` for the given time interval is :A. `(8)/(9)`B. `(8)/(3)`C. `(16)/(9)`D. `(16)/(3)` |
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Answer» Correct Answer - D Distance travelled `=(1)/(2)xx4 xx(2+4)(1)/(2)-xx 2 xx(2+4)=6m` magnitude of displacement `=(1)/(2)xx 4xx(2+4)(1)/(2)-xx 2xx(2+4)=6m` average speed `= (18)/(8)` `|"average velocity"| = (6)/(8)` `("maximum speed")/("average speed")=(4)/(18)xx8=(16)/(9)` And `(|"maximum velocity"|)/(|"average velocity"|)=(4)/(6) xx8 =(16)/(3)`. |
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