Answer:
206.62313 m/s
Explanation:
u = Muzzle speed
g = Acceleration due to gravity = 9.8 m/s²
[tex]\theta[/tex] = Angle at which the bullet is fired = 30°
h = Maximum height = 544 m
Maximum height is given by
[tex]h=\dfrac{u^2sin^2\theta}{2g}\\\Rightarrow u=\sqrt{\dfrac{2gh}{sin^2\theta}}\\\Rightarrow u=\sqrt{\dfrac{2\times 9.81\times 544}{sin^2(30)}}\\\Rightarrow u=206.62313\ m/s[/tex]
The muzzle speed is 206.62313 m/s
