Five balls A,B,C,D and E are projected with the same speed making angles of 10o, 30o, 45o, 60o and 80o respectively with the horizontal. Which ball will strike the ground at the farthest point?
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a
A
b
B
c
E
d
C
answer is D.
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Detailed Solution
The horizontal range of a projectile is given byR=u2sin2θgThe range R is maximum when sin2θ is maximum. Thussin2θ=1 or 2θ=π/2or θ=π/4∴ θ=45∘So, the body C will have the maximum range.
Five balls A,B,C,D and E are projected with the same speed making angles of 10o, 30o, 45o, 60o and 80o respectively with the horizontal. Which ball will strike the ground at the farthest point?