What Height Will the Projectile Strike the Barrier?

In summary, the problem involves a projectile being thrown at a 30 degree angle from the ground with a speed of 40 m/sec and striking a barrier 85m away. The solution involves calculating the time from point A to B, the distance from point A to C, and the distance from point B to C using the given equation for time. However, the solution may be incorrect due to a possible error in calculating the acceleration.
  • #1
schyuler2
8
0

Homework Statement


A projectile is thrown from the horizontal ground with a speed of 40 m/sec at an angle with the horizontal of 30 degrees. At what height will the projectile strike a high barrier located at a distance of 85m from the firing point?


Homework Equations


ok so: point A is located at the point in which the projectile is launched
point B is located at the point at which the projectile strikes the barrier
point is located at the bottom of the barrier, on the ground directly below the striking point
theta = 30 degrees

change in time from A to B= [VB - VA] / acceleration

dAB = distance from A to C * cos(theta)

dBCx = VB (change in time from B to C) + 0.5a*(change in time B to C)2

The Attempt at a Solution



change in time A to B = [0 - 40] / 9.8 = 4.08 sec

dAB = 85m * cos(30) = 22m

dBCx = 0 (4.08 sec) + 0.5 (9.8) (4.08)2 = 245 m
^my teacher said that this wasn't right. i think i went wrong on the acceleration-i don't think i am calculating it right or using the right value.
 
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  • #2
You're value for acceleration is fine in the y direction.

How did you derive your equation for time?
 
  • #3


I would like to clarify that the given information is not enough to accurately calculate the height at which the projectile will strike the barrier. In order to solve this problem, we would need to know the height of the barrier and the initial height from which the projectile is launched. Additionally, we would need to consider the effects of air resistance and the specific characteristics of the projectile being used.

Furthermore, the equations used in the attempt at a solution are not applicable in this scenario. The distance formula d = vt + 1/2at^2 is used for objects in free fall, not for projectiles that have a horizontal and vertical component of motion. In order to accurately solve this problem, we would need to use the equations for projectile motion, which take into account the horizontal and vertical components of the projectile's motion.

In conclusion, more information and a better understanding of projectile motion is needed to accurately solve this problem. As scientists, it is important for us to use the correct equations and consider all factors in order to reach a valid and accurate solution.
 

FAQ: What Height Will the Projectile Strike the Barrier?

What happens to a projectile when it is thrown at a barrier?

When a projectile is thrown at a barrier, it will either bounce off or pass through the barrier, depending on the material and velocity of the projectile. If the projectile's velocity is high enough, it may also cause damage to the barrier.

How does the angle of the projectile affect its impact on the barrier?

The angle at which a projectile is thrown can greatly affect its impact on a barrier. If the angle is too steep, the projectile may not have enough momentum to pass through the barrier. If the angle is too shallow, the projectile may bounce off the barrier instead of passing through it.

What factors determine the amount of damage a projectile can cause to a barrier?

The amount of damage a projectile can cause to a barrier depends on its velocity, mass, and the material of the barrier. A higher velocity and mass will result in more damage, and a weaker barrier material will be more susceptible to damage.

Can a projectile pass through multiple barriers?

Yes, a projectile has the potential to pass through multiple barriers if its velocity and angle are just right. However, each barrier will slow down and possibly alter the trajectory of the projectile, making it more difficult to pass through subsequent barriers.

What are some real-world applications of studying projectiles and barriers?

Studying projectiles and barriers has many real-world applications, such as designing protective barriers for buildings and vehicles, understanding the mechanics of sports like baseball and golf, and improving the accuracy and effectiveness of weapons and ammunition. It also has applications in engineering, physics, and military strategy.

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