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"The magnitude of average velocity is equal to average speed". This statement is not always correct and not always incorrect. Explain with example, |
Answer» Solution :![]() Supose, a car taken 18 s to move from O (0) to P (360. Noe in next 6s, it returns from P to Q (240) then by calculating average velocity and average speed the answer of this QUESTION can be explained. For motion for O to P, Average speed `= (OP)/(t _(1)) = (+ 360)/(18) = 20 ms ^(-1)` Aberage velocity `= ("Position of P-Position of Q")/(t _(1))` `= (360-0)/(18)= (360)/(18)=20 ms ^(-1)` Here, both are equal, For motion from P to Q, Avewrage speed `= (OP +PQ)(t _(2)) -= (360)/(t_(1) + 6)` `[ because PQ =360 - 240 = 120]` ` = (480 )/(18 + 6) = (480)/(24) = 20 ms ^(-1)` Average velocity `= (Position Q-Position Of O")/(t _(2))` `= (240)/(24)= 10 ms ^(-1)` Here, both are not equal . |
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