A) decreases by 11 percent
B) increases by 11 percent
C) decreases by 9 percent
D) increases by 9 percent
Correct Answer: C
Solution :
[c] The time to reach the maximum height without air resistance; \[{{t}_{1}}=\frac{u}{g}=\frac{u}{10}\], and with air resistance, \[{{t}_{2}}=\frac{u}{10+1}=\frac{u}{11}\] \[=\frac{{{t}_{1}}-{{t}_{2}}}{{{t}_{1}}}\times 100=\left[ \frac{\frac{\text{u}}{\text{10}}-\frac{\text{u}}{\text{11}}}{\frac{\text{u}}{\text{10}}} \right]\times 100\] \[=9%\text{ }\left( \text{decreases} \right)\]
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