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Two bodies are projected at angle theta...

Two bodies are projected at angle ` theta` and `(90%(@) -theta) to the horizontal with the same speed. Find the ration of their time of flight.

Text Solution

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`T_(1) =2 usin theta//g and T_(2) 2 u sin (90%(@)-theta) so ` T_(1) //T_(2) =sin theta =tan theta`.
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Knowledge Check

  • Two balls are projected at an angle theta and (90^(@) - theta) to the horizontal with the same speed. The ratio of their maximum vertical heights is

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    ` 1 : 1`
    B
    `tan theta : 1`
    C
    `1 : tan theta`
    D
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  • Two projectiles are projected angle ((pi)/(4) + theta) and ((pi)/(4) - theta) with the horizontal , where theta lt (pi)/(4) , with same speed. The ratio of horizontal ranges described by them is

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    D
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