Projectile Definition and 1000 Threads

Homework Statement An astronaut throws a rock at 12 m/s at an angle of 25° above horizontal from a height of 3.25 m above the surface. How far horizontally does the rock travel before hitting the surface of Pluto? Pluto has a mass of 1.27 E22 kg And a radius of 1.14E6 m Homework Equations...

Homework Statement A projectile of mass M1 is fired horizontally from a spring gun that is initially at rest on a frictionless surface. The combined mass of the gun and projectile is M2. If the kinetic energy of the projectile after firing is K, the gun will recoil with a kinetic energy equal...

Homework Statement A child sitting in a tree throws his apple core from where he is perched (4.0m high) with a velocity of 5.0 m/s [35 degrees above horizontal], and it hits the ground right next to his friend. A) How long is it before the apple core hits the ground? B) How far from the base...

I found this interesting problem on the internet, but I think there is not enough infromation to solve. "At the 1998 Punkin Chunkin World Championship, a pneumatically-driven device called the "Aludium Q36 Pumpkin Modulator" was able to project a 3.6-4.5 kg (8-10 pound) pumpkin intact for a...

I am finishing up a lab write up for conservation of energy, where we launched a projectile into the air and measured the initial velocity and height of the projectile. ( 10 trials) One of my questions asks if I wanted the ball (projectile) to travel twice as high, how much faster would it have...

Homework Statement A hunter aims a high velocity semi-automatic rifle at a moose that is 500.0 m away in a direct line of sight. The moose stands 40.0 m below the horizontal in a depression with a bog at the bottom. The muzzle velocity is 2500.0 feet per second and the sight on the rifle is...

Homework Statement A football receiver running straight downfield at 5.5m/s is 10m in front of the quarterback when a pass is thrown downfield at 25 degrees above the horizon. If the receiver never changes speed and the ball is caught at the same height from which it was thrown find initial...

Homework Statement Cliff is 50 m tall Stone thrown downwards with velocity of 12 m/s and 22 degrees below horizontal What is the time it will take to hit the ground? Homework Equations V=d/t D= Vi t + 1/2at^2The Attempt at a Solution Vx1= cos (22)(12) = +11.12620625 Vy1= sin (22) (12) =...

Homework Statement An arrow is shot at 45 degrees into the sky off of a 51.2m cliff. It lands at a 35 degree angle Homework EquationsThe Attempt at a Solution I attempted to solve it using tangent of 35 is equal to the height (51.2m) divided by the distance it traveled which equals 72. I more...

Homework Statement Given the equations a) find the solution to the problem (1) in vectorial form, by first writing equation (1) in component form and then solving the two parts separately. These can then be combined to obtain the vector form of the solution. b) solve the results of the...

< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown > Hello everyone, I am a mechanical engineering student and was given the task to design a very accurate projectile launcher within a distance of 10 to 20 meters. It should be adjustable within...

I want to know if i did this problem correctly! Problem: A projectile is traveling with velocity vector v = (30.00 m/s)i + (20.0 m/s)j when it experiences an acceleration of vector a = (-10.00 m/s^2)j. What is its velocity after 2.0 s? What is its speed after 2.0 s? My work: Vy = V0y - gt =...

Hi! I was wondering how I could come up with a differential equation for projectile motion on a 2D plane when air resistance is not negligible. I'm trying to guess the position of a projected ball at a certain time period by approximating the coordinates using the Euler's method. Here, I would...

Homework Statement A projectile is launched at an angle to the horizontal and rises upwards to a peak while moving horizontally. What is the angle of maximum range and how it is dependent on initial velocity if we include air resistance and if the wind is blowing in the horizontal direction of...

Homework Statement [/B] A bottle rocket can shoot its projectile vertically to a height of 26.0m. At what angle should the bottle rocket be fired to reach its maximum horizontal range, and what is that range? (You can ignore air resistance). Homework Equations The Attempt at a Solution [/B]...

Homework Statement A rifle is aimed horizontally at a target 50m away. The bullet hits the target 2.0 cm below the aim point. What was the bullets flight time and speed. t0=0s x0=0m y1=-0.2m x1=50m vox=v0 voy=0m/sHomework Equations Y1=1/2ay^2+v0t+y0 x1/t=vox The Attempt at a Solution My...

Homework Statement find the initial velocity if a ball is shot at 0 degrees, goes 99.3 cm forward at a height of 25.5cm then use this velocity to determine the x distance if shot at 60 degrees at a height of 114cm part 1 Vinitial: ? delta x: 99.3cm delta y: 25.5cm degree: 0 Part 2 Vinitial...

The force of drag is proportional to velocity, but with a projectile velocity isn't constant, so how could i calculate the energy lost due to drag? The projectile in question is being shot straight upwards, so that may make this problem much more simple.

Homework Statement A basketball player practices shooting three-pointers from a distance of 7.71 m from the hoop, releasing the ball at a height of 1.93 m above ground. A standard basketball hoop's rim top is 3.05 m above the floor. The player shoots the ball at an angle of 45° with the...

Homework Statement A projectile is launched with initial speed v0 and angle θ over level ground. The projectile's maximum height H and horizontal range R are related by the equation R = 4H. Write an expression for the launch angle of the projectile. Homework Equations R=4H Vxo=Vocos(θ)...

Homework Statement A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00 m above the ground and experience negligible air resistance. (a) How far from where the child is standing does the ball hit the ground? (b) How...

Homework Statement A football is kicked from the ground at an angle of 40° to the ground. It travels 42m and just passes over the goal post which is 3m high. What was the inital velocity of the football? Homework Equations vfinal2 = vinitial2 +2a(yfinal-yinitial) The Attempt at a Solution...

For 3 (a), I feel like I've gotten it down correctly, but comments would be appreciated! 3 (b), I'm not too sure about; could anyone please give a thorough review and point out mistakes if there are any? Number 4, I have no idea where to even begin. I've spent nearly an hour brainstorming, but...

Homework Statement A child sitting in a tree throws his apple core from where he is perched (4.0 m high) with a velocity of 5.0 m/s [35 degrees above the horizontal], and it hits the ground right next to his griend. a) How long does it take for the apple core to hit the ground? b) How far from...

Homework Statement Homework Equations The Attempt at a Solution This is just for (a) as I have not attempted the others yet. Okay so my question is: How do I know which method/equation to use when finding the range of upward projectiles? Does it matter? I seem to have gotten the same...

Hello, I'm working on a (private) Software Project and Part of that is finding a Way to Predict Projectile Positions. My thought's are explained from a Code View a little bit, but I tried to clarify everything so everyone could understand what's going on. (It's my first time in this Forum, I...

Hi, I was wondering if anyone has any links or documents of some challenging projectile motion and circular motion questions. Also, if you have any regarding 'Energy' and roller coasters and pendulums and Hooke's law they would be great too. I am in year 11 and am looking to do some extra study...

Hi Guys, could someone kindly look at my solutions and let me know if I did everything correctly. Thanks a lot! 1. Homework Statement A sniper fires a bullet at 120 m/s at 30° above the horizontal from the roof top of a 35 m high parking garage. If the bullet strikes the level ground beside...

Homework Statement A projectile launched at A with an initial velocity of 24 m/s at the angle θ=60deg, impacts the vertical wall at B. Neglecting air resistance, calculate the height h Homework EquationsThe Attempt at a Solution Here is my solution As you can see to find height h I assumed...

Homework Statement A projectile was launched at 70 m/s at an angle of 45 degrees above the horizontal, how long does it take the projectile to reach maximum height? Homework Equations Vyo= initial vertical velocity Vo=initial velocity The Attempt at a Solution I tried using the...

Hi all I have been trying to find A set of equations that can allow me to map the movement of a planetary body on a polar coordinate sheet (a 2-D Problem). As well as allow me to find out about information such as the perigee and apogee radaii. So far i have been using Keplers equations and...

Homework Statement Homework EquationsThe Attempt at a Solution For part (d), The curvature radius of trajectory at its 1) initial point = horizontal range/2 =( v02 sin (2α))/2g 2) peak = height of ascent/2 = ( v0 sinα)2 /2g Is this correct? In this problem, the time of ascent is equal...

When Major League home runs are hit now, data is usually displayed from Statcast showing the exit velocity, the launch angle and the range. If your students plug the first two values into the standard projectile range equation, they will find that the result is significantly larger than the...

When an object is thrown or propelled upwards and it meets the point at deceleration and drops; what is that point called, where the object is not moving in either direction?

If the air resistance causes a vertical retardation of 10 percent of value of acceleration due to gravity, then the time of flight of a projectile will be decreased by nearly? Take g=10m/s^2 My attempt: Only the vertical component of the projectile will be affected by changes in g I understand...

a plane is inclined at an angle a to the horizontal . a particle up the plane with speed u at an angle b to the plane . when the particle is at its max perpendicular height above the plane it is 3/5 of the range up the plane. show tana*tanb=2/7 so far I have found the time of flight which is...

Homework Statement A cricketer throws a 147g ball by exerting a force of 7.5N for 0.84s. If the launch angle is 39 degrees from horizontal, calculate the range of the ball. Homework EquationsThe Attempt at a Solution I have the range equation and I just need to find the magnitude of the...

I'm looking for a way to determine the velocity a projectile can reach from expanding gasses (explosion or deflagration). I'm sure there are a lot of variables in here, but for reference, we can work with the 12 pounder Napoleonic cannon. The powder burning is 2.5 pounds of black powder made up...

Homework Statement I need to do a project based around this simulation (https://phet.colorado.edu/en/simulation/projectile-motion). I was playing around with it and am confused with how it even works. It seems to work fine with the exclusion of air resistance, but it seems off with it...

Homework Statement You throw a baseball at a 45 degree angle to the horizontal, aiming at a friend who's sitting in a tree a distance h above level ground At the instant you throw your ball, your friend drops another ball. (a) Show that the two balls will collide, no matter what your ball's...

Homework Statement Andy Roberts the former West Indian Cricket player and Fast Bowler, bowled his fastest delivery in 1975 at 159.5 km/h. Neglecting air resistance, calculate the maximum distance he could have thrown the ball at this speed (on earth!) had he been able to throw it: i)...

Hi, So I am currently working on a rather simple problem of a projectile being launched by a spring at a certain angle. Ignoring friction, from conservation of energy we know that the velocity of the launched projectile would be ##v = \sqrt{\frac{kx^2}{m}}## (with ##m## being the mass of the...

In the standing broad jump, one squats and then pushes off with the legs to see how far one can jump. Suppose the extension of the legs from the crouch position is 0.600 m and the acceleration achieved from this position is 1.25 times the acceleration due to gravity, g . How far can they jump...

Homework Statement A projectile is fired vertically from the Earth's surface with an initial speed of 11.4 km/s. Neglecting air drag, how far (in meters) above the surface of the Earth will it go? Homework Equations (1/2)mv^2 -GmM/R The Attempt at a Solution KEi+PEi = KEf+PEf (1/2)mv^2 -...

Homework Statement US Air Force C-17 Globemaster III aircraft were used to airdrop food to Afghan refugees in the early stages of the war against the Taliban in 2001. Calculate how far ahead of the drop zone a pilot would have needed to drop humanitarian aid packages if the delivery occurred at...

Homework Statement A spring toy is launched from the ground at 2.3 m/s at an angle of 78° to the ground. What is the maximum height reached by the spring toy? Homework Equations ## \vec v_1v = \vec v_1 sin\Theta## ## \Delta \vec d = \vec v_1v \Delta t + \frac 1 2 \vec a \Delta t^2## The...

Homework Statement A pilot is attempting to deliver emergency food and first-aid supplies to an isolated northern community that has suffered severe flooding. The plane has a horizontal velocity of 1.4 10^2 km/h as it flies at an altitude of 1.80 m x 10^2. The community is situated on a dry...

<Mentor's note: moved from a general forum and therefore no template> This is the equation of potential energy in rubber bands, however, I don't know how to calculate the inertia of the arm of catapults or get the k constant. And what does n mean? Basically, i don't understand the whole...

Homework Statement The athelete releases the shot with velocity v = 16 m/s at 20° above the horizontal. What is the instantaneous radius of curvature of the shot’s path when it is at the highest point of its trajectory? Enter an answer in meters up to the first decimal place. Use g = 9.81...

Homework Statement I did an experiment on how stretching a rubber band, affects the range or distance of a projectile shot. Variable list: Independent Variable Amount of stretching Dependent Variable Range or distance I created my catapults on my own and used two different rubbers bands...