AP Physics - 2D Projectile motion with rifle

In summary, projectile motion in AP Physics is the study of the motion of an object in two dimensions under the influence of gravity. The initial velocity of a projectile can be calculated using a formula and can also be measured using a chronograph. The range of a projectile is the horizontal distance it travels and can be calculated using a formula, with the optimum angle for maximum range being 45 degrees. Air resistance can affect the motion of a projectile by slowing it down and changing its trajectory. The angle of launch can greatly affect the range and accuracy of a projectile.
  • #1
joycejoohee
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Homework Statement


A rifle is aimed horizontally at a target 100 ft. away. The bullet hits the target
0.75 in. below the aiming point. (a) Calculate the bullet’s time of flight. (b)
Calculate the muzzle velocity of the rifle. (g = 32 ft/s



Homework Equations



delta x = vx * t
delta y = 1/2at^2 + vi t

The Attempt at a Solution


100=vx*t
(two unknown variables?!)
-100=(-16t/s^2)(t^2) + vixt
 
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  • #2
You know how far the bullet drops from the time it leaves the rifle until it hits the target. Can't you find out how long for the bullet to drop this amount?
 

FAQ: AP Physics - 2D Projectile motion with rifle

What is projectile motion in AP Physics?

Projectile motion in AP Physics is the study of the motion of an object in two dimensions, typically in a curved path, under the influence of gravity. In the context of rifle shooting, it involves understanding how the bullet travels in the x and y directions as it is fired from the rifle.

How is the initial velocity of a projectile calculated?

The initial velocity of a projectile can be calculated using the formula v0 = vf - at, where v0 is the initial velocity, vf is the final velocity, a is the acceleration due to gravity, and t is the time. In the case of a rifle, the initial velocity can also be measured using a chronograph.

What is the range of a projectile?

The range of a projectile is the horizontal distance it travels during its flight. In AP Physics, it is calculated using the formula R = (v02 * sin(2θ))/g, where R is the range, v0 is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity. In the context of rifle shooting, the range is the distance the bullet travels before hitting the ground.

How does air resistance affect the motion of a projectile?

Air resistance, also known as drag, can affect the motion of a projectile by slowing it down and changing its trajectory. This is because the force of air resistance acts in the opposite direction of the projectile's motion, causing it to decelerate. In the case of rifle shooting, air resistance can cause the bullet to deviate from its intended path, leading to a less accurate shot.

How does the angle of launch affect the range of a projectile?

The angle of launch, or launch angle, can greatly affect the range of a projectile. In AP Physics, it is found that the optimum angle for maximum range is 45 degrees. This is because at this angle, the vertical and horizontal components of the initial velocity are equal, resulting in the maximum range. In the context of rifle shooting, the angle of launch can also affect the accuracy of the shot, as a higher launch angle can cause the bullet to travel in a more arced path, making it harder to hit the target.

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