The friction of the air causes a vertical retardation equal to 10% of the acceleration due to gravity. Take g = 10 m/s2. The maximum height and time to reach the maximum height will be decreased by
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a
9%, 9%
b
11%, 11%
c
9%, 10%
d
11%, 9%
answer is A.
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Detailed Solution
h=u2sin2θ2g′=u2sin2θ2×1110g=1011×u2sin2θ2g=u2sin2θ2g×1011×100%=91% of u2sin2e2gSo, maximum height decreases by 9%Further, t=usinθg′=usinθ(11/11)g=91% of usinθg∴ time to reach the maximum height decreases by 9%.