found to Ground Projectile
The velocity of projection of a projectile is (6i+8j) ms-1. The horizontal range of the projectlei
(A) 4.9 m
(B) 9.6 m
(C) 19.6 m
(D) 14 m
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Answer:
The velocity is,
u = (6 i + 8 j)
|u| = (6^2 + 8^2)^1/2 = 10 m/s
So,
ux = 6 m/s
uy = 8 m/s
Angle of projection is θ (say).
tan θ = uy/ux = 8/6
Now, range R = u^2sin( 2θ)/g =2u^2sinθcosθ/g= 2×100×6/10×8/10×1/10=9.6m
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