Situation: While holding his rifle at shoulder-level, a 1.8 meter tall hunter accidentally discharges it straight up into the air.

Questions:
1) If the bullet exits the barrel of the rifel at 200 meters per second squared, how many seconds does the hunter have to "step aside" to avoid being hit by the descending bullet?
2) How high did the bullet rise in the air before it started falling back down to earth?
3) If he does not move fast enough as what velocity would the descending bullet strike his shoulder?

Keeping in mind all of this is in Freefall

http://physicsphunhouse.com/physics/ff3.pdf

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Question 1: To find out how many seconds the hunter has to "step aside" to avoid being hit by the descending bullet, we need to determine the total time of flight of the bullet from when it was shot until it starts descending back to the ground.

To calculate this time, we can use the equation:

Time = 2 * (initial velocity) / (acceleration)

In this case, the initial velocity is 200 meters per second (m/s) and the acceleration is the acceleration due to gravity, which we can approximate as -9.8 meters per second squared (m/s^2) since the bullet is in freefall.

Plugging in the values:
Time = 2 * (200 m/s) / (-9.8 m/s^2)

Calculating this, we find:
Time ≈ 2 * (20.41 s)

So, the total flight time is approximately 40.82 seconds. Therefore, the hunter should move aside before this time has elapsed to avoid being hit by the descending bullet.

Question 2: To find out how high the bullet rose in the air before it started falling back down, we can use the vertical motion equation:

Displacement = (initial velocity^2) / (2 * acceleration)

The initial velocity in this case is 200 m/s, and the acceleration due to gravity is -9.8 m/s^2.

Plugging in the values:
Displacement = (200 m/s)^2 / (2 * (-9.8 m/s^2))

Calculating this, we find:
Displacement ≈ 2040.82 meters

Therefore, the bullet rose to a height of approximately 2040.82 meters before it started falling back down towards the Earth.

Question 3: Finally, if the hunter does not move fast enough, we need to determine the velocity with which the descending bullet would strike his shoulder.

Since the bullet is falling in freefall, its velocity when it reaches the hunter would be the same as the velocity it had when it was shot, but with an opposite direction (downward). So, the velocity would be -200 m/s.

Therefore, if the hunter does not move fast enough, the descending bullet would strike his shoulder with a velocity of -200 m/s.