Kinematics Question 641
Question: A large number of bullets are fired in all directions with the same speed v. What is the maximum area on the ground on which these bullets will spread?
Options:
A) $ \frac{\pi {{v^{2}}}}{\text{g}} $
B)$ \frac{\pi {{v^{4}}}}{{{g^{2}}}} $
C) $ {{\pi }^{2}}\frac{{{v^{2}}}}{{{g^{2}}}} $
D)$ \frac{{{\pi }}^{2}}{{v^{4}}}{{{g^{2}}}} $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Maximum possible horizontal range Maximum possible area of the circle
$ = \pi {{( \frac{{{\text{v}}^{\text{2}}}}{\text{g}} )}^{2}}=\frac{\pi {{v^{4}}}}{{{g^{2}}}}[ \text{Here r=}\frac{{{\text{v}}^{\text{2}}}}{\text{g}} ] $