A gun mounted on the ground fires bullets in all directions with same speed. The farthest distance the bullets could reach is $6.4$ m. The speed of the bullets from the gun is ______ m/s. (take $g = 10\ \text{m/s}^2$)
Numerical value type. Enter your answer.
Answer: 8
Concept. The farthest a gun can reach on level ground is the maximum range $R_{\max}=\dfrac{u^2}{g}$ (at $45^\circ$).
Step 1. Solve for $u$.
$$u^2=gR_{\max}=10\times6.4=64\ \Rightarrow\ u=8\ \text{m/s}$$
Answer. $8$.
Solution by Sreeraj P, M.Sc Physics


