why does a hunter raise the barrel of his rifle when aiming at a distant target? If he aims directly at a target 115 m away, by how much will he miss the target of the muzzle velocity is 330 m/s?

nanan

A hunter raises the barrel of his rifle when aiming at a distant target because of the effect of gravity on a bullet's trajectory. When a bullet is fired, it follows a curved path due to the downward pull of gravity. This phenomenon is called bullet drop. By raising the barrel of the rifle, the hunter compensates for this bullet drop and adjusts the aiming point to hit the target accurately.

To calculate how much the hunter will miss the target, we need to consider the bullet's flight time. The time it takes for the bullet to travel to the target is determined by the distance and the muzzle velocity.

First, we calculate the time of flight using the formula:
Time = Distance / Velocity

Time = 115 m / 330 m/s
Time = 0.348 seconds (rounded to three decimal places)

Next, we need to determine the vertical displacement caused by gravity during this flight time. The formula to calculate vertical displacement is given by:
Displacement (d) = (1/2) * g * t^2

Where g is the acceleration due to gravity (approximately 9.8 m/s^2) and t is the time of flight.

Displacement (d) = (1/2) * 9.8 m/s^2 * (0.348 s)^2
Displacement (d) = 0.5964 meters (rounded to four decimal places)

Therefore, the hunter will miss the target by approximately 0.5964 meters, or 59.64 centimeters, due to bullet drop.