Projectile Definition and 1000 Threads

The first part is simple. ##10 secs = 0.0027 hrs##. $$0.7=290\cos30t$$ For the second part $$s=-290\sin30t-\frac129.8(0.0027)^2$$ But I am getting wrong result.

I know how it’s done. So let’s jump on the question. The displacement that came was negative 6 cm. I want to know how this formula describes perfectly negative displacements. I don’t understand the mechanism. If I assume ##ut## to be distance traveled in absence of g then what is ##-1/2gt^2##...

$$(y-y0)=ut-1/2gt^2$$ $$y= -1/2gt^2$$ $$t^2=-1/98$$ If I get t I will be able to solve for x=ut

I am trying to find the launch angle ##\theta## using the relationship: ##\theta=\arctan(\frac{v_{y}}{v_{x}})## So, ignoring attenuation due to air resistance, we have a constant horizontal velocity: ##v_x = d_x/t = 95m/4.5s \approx 21 m/s## But what value do we use for ##v_y## which is not...

Summary:: What propelling mechanism can get me most consistent shots? Compressed air, spring powered, rubber band powered or any other Hello, I am a high school student participating in a local competition where I have to make a turret. Here are the rules: 1) The projectile has to fall in a...

When a ball is thrown such that it moves in a curved trajectory in the horizontal plane, it amuses me to think of its dynamics. In motion of a ball thrown upwards the force of gravity gives it a parabolic trajectory However when the ball is thrown to curve and hit a target, (in the horizontal...

So far all I have determined is the equations of motion for the two and that is as follows. It is trivial that y(t)=v1sin(Q)t -gt^2/2 and that x(t)=v2cos(Q)t. Now the angle that is anticlockwise from the negative horizontal of the robber is 90 - Q using basic trigonometry, using this we can...

##V_x = V_0 cos \theta ## ##x = V_0 cos \theta t## ##V_y = V_0 cos \theta ## ##y = V_0 cos \theta t## ##F_x = m\ddot{x}## ##-mgsin \phi = m\ddot{x}## ##\dot{x} = -gtsin\phi + V_x## ##x = -\frac{1}{2} gt^2 sin \phi + V_x t## ##x = -\frac{1}{2} gt^2 sin \phi + v_0 cos\theta t## ##F_y =...

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Question : Solution attempt :

Summary:: Question concerning the behavior of a ball bearing inside a projectile fired straight up or at an arc. Within a projectile is a 1-inch cylindrical cavity, inside of which is a steel ball bearing that can freely roll along the length of the cavity. When the projectile is fired...

How can i find the angle that a projectile is fired where the maximun height is the same as the traveling distance? I need to find this first in a theoretical way, then i need to confirm this with a simulation. And i need to use only this y=yo+Voyt+1/2gt^2 x=Voxt

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Looking for some guidance on how to set up the equations for a projectile intercept given that you have perfect information about the target velocity, size and weather conditions in a 3D scenario, it's for an amateur videogame that I'm developing in my spare time For simplicity sake let's...

Let me start be making a small sketch of the problem, shown to the right. If the range of the projectile on a still day ##R = v_{0x}T##, then on the windy day the range becomes ##R+2H = v'_{0x}T = (v_{0x}+v_w) T##. Since the maximum height attained by the projectile ##H =...

This problem I already solved using another resource (just get the coordinate of the center of mass reach and from it, get to the larger mass. R = (3v02) / (4g)). But I'm having some trouble calculating using moment conservation. Here what I've done so far: $$ 3\vec v_0 = \vec v_1 +2\vec v_2 $$...

There is a pressurized system at work that operates at 500 psi. The line is 22" in diameter. One of the valves failed at the body to bonnet connection and launched the valve (5,000 lbs) up and through the roof. I was curious if it is possible to calculate the height reached.

I don't know the distance or the horizontal velocity so I can't find any logical solution

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I'm having a bit of a problem with some projectile motion. The standard motion is not a problem, but how to I compensate for a projectile that is rotating or tumbling backwards (nose over tail) at a significant rate of speed. The Tumble rotation is about 50 degrees/second on a cylindrical...

I want to make a video game about snipers and I would like it to have proper bullet physics, not something very accurate, but with "credible" bullet physics. So I need to implement a simple trajectory solver. I thought of taking into account just the gravity and turbulent air drag. The...

Hello, I was wondering of anybody has a formula to determine the optimal barrel length for a firearm using a particular cartridge? For example, the M855 cartridge which has a 62gr. projectile and uses WC-844 propellant, which has a known burn rate etc. The longer the barrel, the more...

1)Find the range of the gun when the muzzle speed is 400m/s and the elevation 24.5° - I tried to find " Time " via t= [v-u]/a by substituting it through cos--> t= ( 0- [400cos24.5] )/-10 and got [ 36.39 ]. Which I then substituted in S=ut---> S= ( 400cos24.5 ) x 36.39=13245.3. [ the answer...

Hi i get the answer about 203.xxx ms ^–1 and 81.7 degree but the book answer given is not similar to my answer, So I hope helper can help me verified this ans

Let: ##x## = horizontal distance from person to tree ##h_t## = height where arrow hits the coconut (measured from ground) ##h_o## = height of monkey ##u## = initial speed of arrow ##\theta = 35^0## ##t = 1~ \text{s}## Vertical displacement of coconut until it is hit: $$h_t - h_o = -\frac{1}{2}...

Hi everyone. I'm a new member, great to be here:) I have a few questions that I wanted to ask you guys regarding the method by which we implement the Runge-Kutta approximation of Projectile Motion if we should do it using a numerical iterative method with a Spreadsheet like Excel. I have...

These questions normally have initial velocity = 0, so that one of the t terms cancels. In this case u = 20ms^-1 so I end up with a quadratic. Which is fine if I plug it into the quadratic formula as one result is -ve so can be ignored, while the other gives t as +ve. just wondering if this is...

I know the conventional method for solving this question using the formula for maximum range of a projectile in an inclined plane, but since it is an objective problem, if we consider a non general case where α=0, then clearly we can see that (see attachment) only one option matches which...

So i have this question. If a projectile is fired from a spring loaded system and when it goes pass a chronograph, reads 300FPS and has a mass of 0.12grams. Is there any way to use the proportionality theorem (1/3=x/6 example) to approximate how fast a mass of 0.25grams is when fired from same...

I have been puzzling over an equation that could be made to show the parabola of a projectile. So far I have determined that the lateral and vertical velocities are needed, the lateral velocity should determine the x² function but after that I am stuck. To specify I refused to look this up as...

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Total acceleration equaled = -9.81

I don't need to know how to solve this but I was just looking for the answer. Can anyone help? A man is standing at a launch site. The rocket doesn't liftoff. Frustrated s/he throws it straight up with a speed of 12.42 m/s. It is caught on the way down at a point 5.0 meters above where it was...

I know I need to solve for acceleration as I am not on Earth and I am assuming I should create a distance vs. time graph. But overall I am unsure what to do. Please help been stuck on this for a while.

Summary:: Scooby-Doo wants a Scooby Snack. According to a website I looked up last night, Scooby can run at a speed of 36 km/h. He runs up a ramp (as shown, 2.0 meters high, 4.0 meters long) at that speed and off the edge. Three meters from the end of the ramp, Shaggy has a Scooby-Snack...

A person standing a distance 𝑑 from the rocket launch site shoots a projectile at 𝑡=0 at an initial speed 𝑣0 at an angle 𝜃0 with respect to the horizontal as shown in the figure above. The projectile hits the rocket just when the rocket reaches its maximum height. The downward gravitational...

Attempt at solution in attachment.

Good afternoon. As part of a personal hobby, I've been trying to design a relatively small projectile that can travel at 'bullet speed' (say, a .22 caliber bullet fired from an appropriately sized gun). I understand that the overwhelming majority of mass-produced bullets today come in a small...

In thermodynamics you have ideal gas cycles. A example of this is the Otto cycle where there is adiabatic compression followed by constant volume combustion, followed by adiabatic expansion and then finally heat rejection at constant volume. What I'm wondering is whether there is a similar type...

First and foremost, thank you so much for your help! I'm new to Physics Forums, and this is my first post. I thought I understood the problem, but as I moved on to the subsequent parts of it became apparent that I was missing something. I set up my ##F = ma## equation as below, and solved that...

Using the equations for constant acceleration, we can write the following set of equations for this problem: We have the following known physical constraints: Solving the above system of equations and constraints with a computer algebra system: So, all the solutions I found make...

Hello! I'm brand new to the physics forum so please excuse any mistakes I make. I'm not even sure if I'm in the right forum section lol. My goal is to create a air cannon to launch a piece of dog food (super overkill) and I have pretty much 0 background in anything post-high school physics. I'm...

Summary:: After firing a projectile from the top of a hill, where does it land on the hill? I disagree with the professor in approach and final result. Problem Statement: Relevant Formulas: Attempt to Solve: I'm very familiar with these types of problems. I'm not here for help solving...

equation of motion : while

this is problem #57 from chapter 4 of "Physics for engineers and scientists vol1" ,it was solved in the book by a method the author calls "successive approximation, he first calculated the flight time of the projectile and then "corrected" for the ship's displacement. i know this is a perfectly...

This is how I think the set up of the lab should look like. I've decided the height to be y=1,5m. The length x is assumed to be 0.32m. where Voy =0m/s the time it takes for the marble to drop 1,5m is 0,55s the inital velocity of the marble is around 0,47m/s I Think I have the...

Hey, I am working on a video game in which there will be archers who have the ability to shoot at enemies. My game is two dimensional and I am trying to calculate the angle at which the archer, given an initial velocity, has to shoot in order to hit the target perfectly. I came up with the...