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Question

The friction of air causes a vertical retardation equal to 10% of the acceleration due to gravity (take g=10 ms−2). The maximum height will be decreased by

A
8%
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B
9%
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C
10%
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D
11%
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Solution

The correct option is B 9%
The correct option is B.

Given,

Retardation =10%

If there is no friction then,

By the equation of the motion,

v2=u2+2gh

v=0

h=u22g

Now,

When there is air resistance 10% of the gravity.

geff=g+0.1g=1.1g

The maximum height will be,

h1=u22gef

Therefore, the difference is h1h

u22gefu22g

So,

Change in height is:

u22gu22gef

=u22gu22g(11110)

Thus the percentage change in height is:

=u22g(11110)u22g×100

=100119%

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