Physics, asked by sohelbagwan7057, 1 year ago

Three athletes A,B,C,participating in a long jump ever by making angle 30°,45°and 60° with the ground who will be the winner

Answers

Answered by playboy12
32

the participatent A will be the winner because his angle is 30° that is very slanting to the ground so he will have the longest jumping distance

Answered by hotelcalifornia
9

Given:

Angles at which 3 athletes jump.

To find:

The angle at which jump will be the maximum.

Explanation:

We know, range of a projectile is given by

R=\frac{u^{2}sin2\alpha  }{g}  

Where, \alpha is the angle of projection of the projectile.

Hence, substituting the given values of angle in the given equation, we get

Step 1

\alpha=30^{o}  ; Hence,

R_{1} =\frac{u^{2}sin2(30^{o} ) }{g}

    =\frac{u^{2}sin(60) }{g} \\=\frac{\sqrt{3}u^{2}  }{2g}

Step 2

\alpha = 45^{o}   ; hence,

R_{2} =\frac{u^{2}sin2(45^{o} ) }{g}

   =\frac{u^{2} }{g}

Step 3

\alpha =60^{o}  ; hence,

R_{3} =\frac{u^{2}sin2(60^{o} ) }{g}

    =\frac{u^{2}sin120^{o}  }{g}

    =\frac{u^{2}sin(90+30) }{g}\\= \frac{u^{2}cos30^{o}  }{g}

    =\frac{\sqrt{3} u^{2} }{2g}  

Therefore, R₂ > R₁ = R₃

Final answer:

Hence, athlete B will travel maximum range distance and thus, will be the winner.  

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