Grade 11General Physics
Write the relation between two angles for which horizontal ranges of projectile will be equal
2 Answers
Arun
Approved Tutor Answer8 Years agoFor same range but different angles
According to formula of range
Range= u^2sin2θ/g
Range= u^2sin2θ/g
Now if θ1= 30 and θ2=60
Sin2(30)= sin60
Sin2(60)= sin120=sin60.
Sin2(60)= sin120=sin60.
With same speed of projection
As the sine is equal so the range will be equal
As the sine is equal so the range will be equal
Hence relation between the two angles is
θ1:θ2=1:2
θ1:θ2=1:2
Khimraj
Range of a projectile is given by u2sin2
/g. Since sin2(90 – ) = sin2.
So range for any two angle and 90 – will be same. Hope it clears.
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