A bullet is fired in
a horizontal direction with
a muzzle velocity of
300m/s.in the absence of
air resistance,how far will
it have droppped in
travelling a horizontal
distance of 20m.
4.9(20/300)^2
To determine how far the bullet will have dropped while traveling a horizontal distance of 20m, we need to consider the vertical motion of the bullet.
We can start by breaking down the motion into horizontal and vertical components. Since there is no air resistance, the horizontal velocity remains constant throughout the motion, which is 300m/s. The vertical velocity is affected by the acceleration due to gravity, which is approximately 9.8 m/s² downward.
First, let's find out how long it takes for the bullet to travel the 20m horizontally. We can use the formula:
time = distance / velocity
time = 20m / 300m/s
time ≈ 0.067 seconds
Now, let's determine how far the bullet has dropped vertically during this time.
Vertical distance dropped (d) = (1/2) * acceleration due to gravity * time^2
d = (1/2) * 9.8m/s² * (0.067s)^2
d ≈ 0.022 meters
Therefore, the bullet will have dropped approximately 0.022 meters vertically while traveling a horizontal distance of 20m.