2 dimensional projectile motion with rifle and bullet

In summary, the rifle was aimed horizontally at a target 30m away, and the bullet hit the target 1.9cm below the aiming point. Using the equations for projectile motion, the time of flight was determined to be 0.0623 seconds and the initial velocity was calculated to be 481.77m/s. This was confirmed to be correct by the person asking the question.
  • #1
Painguy
120
0

Homework Statement


A rifle is aimed horizontally at a target 30m away. The bullet hits the target 1.9cm below the aiming point. what are the bullets time of flight and the initial velocity?


Homework Equations


ax=0
g=9.8m/s^2
x0=0m
xf=30m
y0=0m
yf=.019m
v0x=?
vfx=0m/s
v0y=0
vfy=0
t=?

The Attempt at a Solution



Here is a little picture i drew to visualize everything

CygLmK9.png


.019=v0y*t +1/2*g*t^2
.019=4.9*t^2
sqrt(.019/4.9)=t
t=.0623s

30m=v0x*t +1/2*ax*t62
30m=v0x*.0623s
v0x=481.77m/s

Is this correct? It seems about right. I have a small time, and a high velocity. I just want to make sure that I'm right.
 
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  • #2
Looks good!
 

Related to 2 dimensional projectile motion with rifle and bullet

1. What factors affect the trajectory of a bullet fired from a rifle?

The main factors that affect the trajectory of a bullet fired from a rifle are the initial velocity of the bullet, the angle at which the rifle is fired, and the effects of air resistance or drag. Other minor factors may include the shape and weight of the bullet, as well as external factors such as wind or altitude.

2. How does the distance traveled by a bullet change at different angles of elevation?

The distance traveled by a bullet will vary depending on the angle at which the rifle is fired. At lower angles of elevation, the bullet will travel farther before hitting the ground due to a longer horizontal distance. However, at higher angles of elevation, the bullet will hit the ground sooner due to a shorter horizontal distance and a steeper trajectory. The optimal angle for maximum distance is typically around 45 degrees.

3. What is the relationship between the initial velocity of a bullet and its range?

The initial velocity of a bullet has a direct relationship with its range. This means that the higher the initial velocity, the farther the bullet will travel before hitting the ground. This is because a higher initial velocity gives the bullet more forward momentum, allowing it to travel a greater horizontal distance before the effects of gravity and air resistance cause it to drop.

4. How does air resistance affect the trajectory of a bullet?

Air resistance, also known as drag, can have a significant impact on the trajectory of a bullet. As the bullet travels through the air, it experiences drag which slows it down and affects its trajectory. This is why bullets fired at longer distances will drop more than those fired at shorter distances, as they have been affected by drag for a longer period of time.

5. How can the trajectory of a bullet be affected by external factors?

External factors such as wind and altitude can have an impact on the trajectory of a bullet. Wind can push the bullet off course, causing it to deviate from its intended path. Altitude can also affect the trajectory of a bullet, as the lower air density at higher altitudes can result in less drag and a flatter trajectory. These factors must be taken into account when calculating the trajectory of a bullet for accuracy and precision.

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