Projectile Definition and 1000 Threads

Homework Statement Model the trajectory of a projectile with an initial velocity v_0 that is subject to the force of drag.Homework Equations F_{\text{d}} = \frac{1}{2}C_{\text{d}}\rho\text{A}(v(t))^2 v_x(t) = v_{0x} + \int_{t_0}^t a_x(t')\mathrm{d}t' The Attempt at a Solution I really...

Homework Statement Homework Equations The Attempt at a Solution Maximum height attained by first projectile H = u2sin2θ/2g = 15m If acceleration vector is assumed a = axi+ayj , then at H √(ax2+ay2) = 50 . Now I need to use the given conditions to come up with another...

Homework Statement A wedge of mass m and angle θ is placed on a smooth ground. As shown in the diagram A is a point on ground. A particle also having mass m is dropped from a height h at a horizontal distance x from A . It finally touches the ground at point B . Find √3AB in metres. Details...

Hi, I am 12 years old and sort of a noob to physics due to, well, me being in the 8th grade. I need to find the weight of this spherical projectile given just about every other factor, I know the Angle in which it was fired (32.2°), the gravity of the planet this takes place on (12m/s2), the...

Mr. Smith’s dog Rosie takes a flying leap off his bed. The bed is 1m high, and Rosie leaves with a muzzle velocity of 5 m/s [40° above the horizontal]. Sometime after Rosie leaves the bed, Mr. Smith (who is 5m away from the bed) throws a doggie treat to Rosie from ground level with a muzzle...

Homework Statement Hi! Task is to calculate kinetic energy of a projectile and cannon recoil velocity. known data: -mass of antiaircraft cannon: 3t -max horizontal distance: 4km -mass of a projectile 2kg barrels: 2 The Attempt at a Solution Since there is no initial velocity or time or max...

Homework Statement A canon fires a projectile at a speed of 100 m/s at angle of 20 degrees. (a) what is the radius of curvature of the projectile at its highest altitude? (b) What is the radius of curvature of the path .5 seconds after firing? Homework Equations Velocity vector = s'ur...

1. Homework Statement : A gun is fired from a moving platform and the ranges of the shot are observed to be R and S when the platform is moving forward or backward respectively with velocity V. Prove that the elevation of the gun is tan(inverse)[g(R - S) ^ 2 / 4V ^ 2(R + S)] 2. Homework...

Picture: - - - ---------------------------------- p -> ---------------------------------- + + + Positively charged particle "p" is initially moving to the right between two capacitor plates. Is the...

I am trying to find the formula for the so called "ballistic loophole" which is a technique where one will cut a small hole in a wall or structure (no bigger than 3 inches wide or tall) and shoot through it at a target without placing himself to close to the wall. I know I need the height...

Homework Statement I am wanting to calculate the Displacement of a projectile when it is launched at various angles, however all I have is the Initial velocity and the acceleration due to gravity. The Attempt at a Solution first attempted to approach this by calculating the horizontal...

Hello, I need help on my basic math This is the problem A projectile is launches with 200kg.m/s of momentum and 1000 J of kinetic energy. What is the mass of the projectile. (a) 20 kg This is my math: P = mv so m = P/v m = (200 kg.m/s)/v KE = 1000 J 1000 J = 1/2 mv ^2...

Attempt solution Y=(vsinø)t-0.5gt^2 4=(vsinø)t-4,9t^2 But there is 3 variables! Another eq is X=(vcosø)t 6=(vcosø)t But i did not found any away to solution

I've been wonder something about coriolis force. Well... when we consider motion of projectile on earth, we have to consider coriolis force due to Earth's rotation and we know that coriolis force varies with latitude. In the book (fowles's) they set differential equation and just...

Homework Statement An 1.94 m tall basketball player wants to make a basket from a distance d = 19.8 m. If he shoots the ball at θ = 58.7° angle, at what initial speed must he throw the basketball so that it goes through the hoop without striking the backboard? The height of the basketball hoop...

A projectile is launched with 200 kg.m/s. If Jennifer weighs 583 N, what is the magnitude of her momentum? a) 97.0 kg.m/s b) 137 kg.ms c) 68.6 kg.m/s d) 672 kg.m/s e) 951 kg/m/s

Homework Statement In a friendly game of handball, you hit the ball essentially at ground level and send it toward a wall 4.6 m away. The ball is hit with a speed of 20 m/s at 40 degrees above the horizontal. a.) At what height does the ball strike the wall? b.) Calculate the speed of...

Homework Statement Determine the initial velocity of the projectile as it comes out of a cannon at a 20° angle. Homework Equations d = (Vi)(t) + 1/2(a)(t)^2 The Attempt at a Solution I've split the question into both x and y components and solved for both using the equation above...

Homework Statement I don't have the exact problem statement but I remember the important data. I have to find the value of ##x## in the figure such that the projectile reaches to its original position. The initial speed is ##20\sqrt{2}\,m/s## at an angle of ##45^{\circ}## with the...

I am interested to know if there is possible to find out the contact time by a colliding object into a plate, given material properties? My object is to find out the pressure on a plate using force acting on an area. What i know: Mass of both projectile and target plate Impact velocity...

Homework Statement A cannonball is fired with initial speed v0 at an angle 30° above the horizontal from a height of 38.0 m above the ground. The projectile strikes the ground with a speed of 1.3v0. Find v0. (Ignore any effects due to air resistance.) Homework Equations Time= 0=v0T-½gT2...

Homework Statement A woman throws a ball at a vertical wall d = 3.4 m away. The ball is h = 1.7 m above ground when it leaves the woman's hand with an initial velocity of 11 m/s at 45°. When the ball hits the wall, the horizontal component of its velocity is reversed; the vertical component...

I'm working on a little project where I want to plot the motion of a projectile with air resistance. The air resistance can be assumed to be proportional to the velocity squared. F_{f}=-Bv^{2} F_{f,x}=F_{f}\frac{v_{x}}{v}, \ \ F_{f,y}=F_{f}\frac{v_{y}}{v} where B depends on the height...

Hi every one Homework Statement If (R) is to be the horizontal range of a projectile and (h) its maximum height prove that the initial velocity is: [tex] \sqrt{(2g(h+\frac{R^2}{16h}))} [\tex] Homework Equations [tex]R=\frac{v_0^2 sin(2\theta)}{g}[\tex] [tex]h=\frac{v_0^2...

Homework Statement This is a review question from the test I did few months back, and I need to review it for my finals. A ball is thrown from the top of a building 35m high with an initial speed of Vi at an angle 30° above the horizontal. The ball strikes the ground at a point 80m from...

Homework Statement A regular hexagon of side a=10√3 m is kept at horizontal surface as shown in the figure. A particle is projected with velocity V m/s at an angle θ from point k such that it will just touch the all four corners B,C,D,E. If O is the centre of hexagon and x-axis is parallel to...

A ball is thrown from a cliff. The path of the ball modeled by the equation h = -5t^2+ 5t + 210, where h is the height, in metres, of the ball above the ground, and t is the time, in seconds, after it is thrown. How high is the cliff? Not really sure how to do this problem. I know that one of...

Homework Statement A projectile is fired at a stationary vehicle. If the initial separation was 200m and the projectile traveled at a constant 75 m/s, find the acceleration the vehicle would need for a passenger to be able to reach out and calmly pull the projectile into the vehicle. (Assume...

Grεετings! :smile: I have some questions about a physics problem. I would appreciate some help with understanding this. Homework Statement The task is to plot some graphs for a projectile at different angles, first when neglecting air resistance and then including a formula for air...

Homework Statement Suppose you have a projectile of 120g. Suppose that projectile is accelerating at 9186.05 m/s/s for 0.129 seconds, to a velocity of 12150 m/s. Factoring in a 20% drop in Velocity from aerodynamics and friction, it accelerates to roughly 9750 m/s. What distance did the...

Hello I have been struggling with this problem for a whole day, and finally admitting that i can't solve it, so i ask for help :smile: I am familiar with the escape velocity , and the speed needed to brake into interplanetary space - the Newton cannonball thought experiment. But i was wonder...

I have literally tried everything in my power to find the answer to these and i keep getting stuck. I really nee to find the answer so i can grasp the concept..

Homework Statement If you can hurl a ball so that its initial speed is 30m/s, what is the widest river you can throw it across? Homework Equations The range equations, t=2(vi)(sintheta)/g d=visin2theta/g The Attempt at a Solution I know you have to use components so what I...

Homework Statement A ball (0.45kg) is kicked at 32m/s, 45° above the horizontal. If the average force of air resistance is 1N, how far will it go?Homework Equations so I figure you would need energy to solve this question but I'm having trouble finding the total distance it travels, not just...

Homework Statement A person jumps 8.9m. The person's takeoff speed was 15m/s. What is the angle relative to the ground at takeoff? Homework Equations The Attempt at a Solution I found t using the kinematic formula to be 0.5s using the formula. d=vit+1/2at^2. Can someone tell...

We know that the angle of \(\frac{\pi}{4}\) causes a projectile to travel its max distance when air resistance is neglected. When we consider air resistance is the \(\frac{\pi}{4}\) still the angle that produces the max distance? With air resistance, the projectile with of course travel less...

Homework Statement The question is about the darts game. Bulls eye is at 1.73m height. The Dart (m=25.3g) is thrown from a distance of 1.80m. Dart lands in the middle of the board (bulls eye) under an angle of 4° (to the horizontal line) with landing speed of 12m/sec. Air resistance is to...

If the only variable that is changed is mass. What equation would I use to find the distance an object travels that is shot horizontally at a velocity (v) and I would like to be able to calculate the change in velocity?

I have a question about a spring gun. Suppose the barrel of a spring gun is placed horizontally at the edge of a horizontal table. You put say a marble in the barrel and compress the spring x cm and after releasing the marble it travels a horizontal distance of y cm before hitting the floor (so...

Homework Statement A projectile launched straight up at 10 m/s will be in the air for: A) 1 s B) 1.4 s C) 2 s D) 5 s Homework Equations Not sure. The Attempt at a Solution I'm honestly not sure what to make of this problem. Since it's freefall, it sounds like we could...

I know how to do most projectile questions, but if just can't seem to get the correct answer for this: 6) A helicopter is ascending vertically with a velocity of 8.0 m/s at a height of 120 m when a package is dropped out of the door. How much time passes before the package hits the ground...

Homework Statement A man stands on the roof of a building of height 14.1m and throws a rock with a velocity of magnitude 29.3m/s at an angle of 29.9 degrees above the horizontal. You can ignore air resistance. 1) Calculate the maximum height above the roof reached by the rock. 2)...

Homework Statement A man tosses object with initial velocity of 20 m/s into a room, and is 2.0 m above the ground. The room is 10.0 m above the ground. In a provided diagram, the distance from man to room horizontally is 31.8 m. I am required to solve for the angle of the object as it...

Homework Statement A person kicks a soccer ball with an intial velocity directed 53 degrees above the horizontal. The ball lands on a roof 7.2 m high. The wall of the building is 25m away, and it takes the ball 2.1 seconds to pass directly over the wall. Calculate the intial velocity of the...

Homework Statement A projectile is launched at a 60° angle above the horizontal on level ground. The change in its velocity between launch and just before landing is found to be Δv→ = v→landing _ v→launch = -20 y^ m/s . What is the initial velocity of the Projectile ? What is its final...

Homework Statement My problem consists of two parts, the first being how far from the top of a cliff will a projectile (fired from a cannon) land with a velocity of 120 ms^-1, fired horizontally from cliff height of 150m. The second part is where I am struggling, the cannon is now aimed 45°...

Homework Statement At what projection angle will the range of a projectile equal its maximum height? Homework Equations Big 5 vf2= vi2 + 2ad The Attempt at a Solution So I attempted to solve this question by randomly subbing in equations into each other. If i draw out a diagram to solve...

Homework Statement You're given a cannon that allows you to fix the initial velocity and the shooting angle of a projectile that should be embedded on the side of a mountain l meters away. What is the minimum velocity for you to embed the projectile at an angle of \frac{\pi}{4}? The Attempt...

Hey all! I've tried solving this problem every way I could think of and I wanted to see if I'm doing this even remotely right. Mind helping me out? Homework Statement Problem: A mountain climber is stranded on a ledge 30 m above the ground. Rescuers on the ground want to shoot a projectile to...

Homework Statement We did an experiment where we launched a ball off a table at an initial velocity of 1.80 m/s, at an angle of 10 degrees. We measured the distance in the x-axis the ball traveled 0.743 m. Using this information, we are supposed to calculate a predicted value for the distance...