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Write the relation between two angles for which horizontal ranges of projectile will be equal

Yachana gupta , 6 Years ago
Grade 11
anser 2 Answers
Arun

Last Activity: 6 Years ago

For same range but different angles 
According to formula of range
Range= u^2sin2θ/g
Now if θ1= 30 and θ2=60
Sin2(30)= sin60
Sin2(60)= sin120=sin60. 
With same speed of projection 
As the sine is equal so the range will be equal 
Hence relation between the two angles is 
θ1:θ2=1:2
 

Khimraj

Last Activity: 6 Years ago

Range of a projectile is given by u2sin2\Theta/g. Since sin2(90 – \Theta) = sin2\Theta.
So range for any two angle \Theta and 90 – \Theta will be same. Hope it clears.

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