A particle is thrown in vertically in upward direction and passes three equally spaced windows o...

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A particle is thrown in vertically in upward direction and passes three equally spaced windows of equal heights. Then
(1) The average speed of the particle while passing the windows satisfy the relation \( v_{\mathrm{av}_{1}}v_{\mathrm{av}_{2}}v_{\mathrm{av}_{3}} \).
(2) The time taken by the particle to cross the windows satisfies the relation \( t_{1}t_{2}t_{3} \).
(3) The magnitude of the acceleration of the particle while crossing the windows, satisfies the relation \( a_{1}=a_{2} \neq a_{3} \).
(4) The change in the speed of the particle, while crossing the windows, would satisfy the relation \( \Delta v_{1}\Delta v_{2}\Delta v_{3} \).
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