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Show that the maximum range of a projectile having an initial speed u is obtained when projected at an angle of 45 to the horizontal.

Show that the maximum range of a projectile having an initial speed u is obtained when projected at an angle of 45 to the horizontal.

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Dear Student
Ā 
As we know
Range R = uĀ² sin2\LARGE \theta/g
Now for maximum range
Sin2\large \thetaĀ = 1
Hence
2\large \thetaĀ = 90Ā°
\large \theta= 45Ā°
Ā 
Hence angle should be 45Ā° for maximum range.
Ā 
Regards
Arun (askIITians forum expert)

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