Kinematics Question 578
Question: The velocity of projection of a body is increased by 2%. Other factors remaining unchanged, what will be the percentage change in the maximum height attained?
Options:
A) 1%
B)2%
C) 4%
D)8%
Show Answer
Answer:
Correct Answer: C
Solution:
[c] We know that, $ {{\text{y}} _{\text{m}}}=\text{H=}\frac{{{( \text{u sin}\theta)}^{2}}}{2\text{g}} $
$ =\frac{u^{2}\text{si}{{n^{2}}\theta }}{2\text{g}} $
$ \therefore \frac{\Delta \text{H}}{\text{H}}=\frac{2\Delta \text{u}}{\text{u}}.\text{ Given }\frac{\Delta \text{u}}{\text{u}}=2% $
$ \therefore \frac{\Delta \text{H}}{\text{H}}=2\times 2=4% $
