Calculate the acceleration if the bullet leaves the gun at 350 m/s. The length of the gun barrel is .40m.
To calculate the acceleration of the bullet, we will use the equation for acceleration:
acceleration = (final velocity - initial velocity) / time
However, we are not given the time it takes for the bullet to leave the gun barrel. Therefore, we need to calculate the time using the given information.
The length of the gun barrel is 0.40m. We can assume that the bullet travels this distance in a straight line when leaving the gun barrel. The time taken for the bullet to travel this distance is given by the formula:
time = distance / velocity
Plugging in the values, we have:
time = 0.40m / 350 m/s
Now, we can calculate the time:
time = 0.00114 s
Now that we have the time, we can calculate the acceleration using the initial velocity, final velocity, and time:
acceleration = (final velocity - initial velocity) / time
Given that the initial velocity is 0 m/s (assuming the bullet was at rest inside the gun barrel) and the final velocity is 350 m/s, we can calculate the acceleration:
acceleration = (350 m/s - 0 m/s) / 0.00114 s
acceleration ≈ 307,017 m/s^2
Therefore, the acceleration of the bullet when it leaves the gun is approximately 307,017 m/s^2.