Projectile Definition and 1000 Threads

Homework Statement A stone is thrown with a velocity v_{0} at an angle \alpha to the horizontal (see image) from a step of height H. Calculate the x coordinate x_{1} of the point where the stone hits the ground. Homework Equations x(t) = u_{x}t + x_{0} y(t) = u_{y}t +...

The original problem has very confusing wording without the picture so I reworded it for simplicity: A toy cannon is placed on a ramp on a hill, pointing up the hill. With respect to the x-axis the hill has a slope of angle A and the ramp has a slope of angle B. If the cannonball has a muzzle...

Projectile Motion 2D -- Spring Launched There is this ball launched from a slingshot. Given the mass is 0.9 kg at the angle 60° to the horizontal, with k=750 N/m and is stretched by length l = 0.6 m. The ball is shot 1 m above the ground. (g=10 m/s2). The questions are to derive the equation...

Homework Statement Homework Equations R = 1/2 gt^2 R+x = vt The Attempt at a Solution For a), I tried to find t first, which is equal to √(2R/g). Then, I put t = √(2R/g) into the equation R+x = vt, and I found out that v = (R+x)/√(2R/g), is that correct? For b), is the...

Kinematics -- projectile motion -- time to maximum height? Homework Statement The nozzle of a fire hose discharges water at a speed of 10 m/s. The nozzle is aimed straight up. How long does it take for a water drop to reach its maximum height? Start with translating the question: vi= 10 m/s...

Homework Statement A basketball, thrown off a cliff with a velocity of (30.0, 25.0) m/s, lands on the ground 8.00 s later. In the absence of air resistance, what is the distance the projectile lands from the base of the cliff?Homework Equations...

Homework Statement If I know a launched objects initial velocity and angle of launch, how would I find a specific x value given a certain y value? Homework Equations The Attempt at a Solution I tried setting the equation y=Vo*sin(angle)*t-.5gt^2 to equal the y value given which is...

1. Homework Statement An artillery shell is fired from the origin in the x direction(z is vertically upward) at an angle of 30degrees above the horizontal axis at a velocity of 3000 ft/s. after 2.5a the shell which weighs 100lb explodes into two pieces. The first piece to land weighs 30...

Homework Statement An artillery shell is fired from the origin in the x direction(z is vertically upward) at an angle of 30degrees above the horizontal axis at a velocity of 3000 ft/s. after 2.5a the shell which weighs 100lb explodes into two pieces. The first piece to land weighs 30 lbs...

Homework Statement Would the horizontal distance traveled by a projectile on Earth be the same as one on the moon? I feel like the distances would be different, but when I was calculating the initial velocity of the projectile on the moon I used the same x value(distance) that I did for...

If I can throw a ball on a level field with a range of 15 m, how high would the ball travel if the same throw was made vertically? Using the range equation, I found the velocity to be 12.1 m/s, and the final answer to be 7.5m. Is this correct?

Homework Statement A car is driving 40 m/s north on a flat surface when the driver throws a ball out the window. The ball leaves his hand moving horizontally and perpendicular to the car with a speed of 20 m/s with respect to the car. At the moment the ball leaves the driver's hand, it is 1m...

Homework Statement A projectile is fired from a cannon at an angle β with the horizontal at a velocity V. The cannon is situated inside a cave. The cannon is situated at a distance X away from the inner most part of the cave. The cave makes an angle α with the horizontal. What is the angle β...

Homework Statement A man stands on the roof of a building of height 14.6m and throws a rock with a velocity of magnitude 30.8m/s at an angle of 33.2∘ above the horizontal. You can ignore air resistance. Calculate the maximum height above the roof reached by the rock. Homework Equations...

Homework Statement I'm doing an experiment where I'm trying to determine the velocity of a hose when fully turned on using projectile motion. I projected the hose at different angles (15,30,45,60,75,90 degrees) doing 3 tests on each 1. Here is an example I made with the a set of results -...

Homework Statement Prove that a projectile launched on level ground reaches maximum height midway along its trajectory. The Attempt at a Solution Is the attached solution the correct way to prove? I tried another method which was: t = 0 or t = 2vyi/g [y(2vyi/g) = y(0) + vi.t -0.5gt^2]/2...

If a rock is thrown horizontally from a cliff at 25 m/s, what will its velocity be (magnitude and direction) after 3.0 seconds. The answer is 38.6 m/s, and 49.6 degrees down, but I cannot figure out how to get to it. Not sure which equations to use, I just started and I am learning on my...

Homework Statement Standing on the ground 3.0 m from the wall of a building, you want to throw a package from your 1.6 m shoulder level to someone in a second-floor window 4.1 m above the ground a)At what speed should you throw the package so it just barely reaches the window? b) At what...

Homework Statement A ball is launched at an angle of 38° at 16m/s off of the top of a building, the ball finally hits the ground after 45seconds. What is the height of the building? Gravity is normal 9.80m.s squared. The answer to the problem is 9480m. Homework Equations I just needed...

Homework Statement I'm doing an experiment where I'm trying to determine the velocity of a hose when fully turned on using projectile motion. I projected the hose at different angles (15,30,45,60,75,90 degrees) doing 3 tests on each 1. Here is an example I made with the a set of results -...

Homework Statement A projectile is fired in such a way that its maximum height is a factor of 4 times its horizontal range. Find the launch angle in degrees Homework Equations h_{max}=\frac{V^{2}_{0}sin^{2}\theta}{2g} Range=\frac{V^{2}_{0}sin2\theta}{g} The Attempt at a Solution...

I need a bit of help with this simple question, it's not difficult at all but I just can't see what I did wrong. I'm overlooking a crucial thing A cannon is placed 40m away from a 37.5m high cliff. The cannon fires a ball with an angle of 45 degrees to the horizontal. The gravitational...

Homework Statement A cannon is supported one meter above the top of a 20 degree declining slope of length 200m. The cannon has a launch velocity of 55m/s. There is a ball halfway down this slope moving at a constant velocity of 20m/s. -Determine the angle \Theta required for the projectile to...

Homework Statement My problem looks like this: http://i.imgur.com/3M9wE43.png I need to find the point of impact and the time the body traveled. Homework Equations The Attempt at a Solution I tried to find the time for 25 meters and with that the vertical velocity and height. Ended up...

Homework Statement A body which is thrown upward from the ground at an angle θ passes through 2 points situated at height h at times [t][1] and [t][2] from launching.Calculate the initial velocity [v][0] and the height h.Homework Equations The equation of motion for a projectile motion: x(t)=...

It is not being explained anywhere in my book nor on the internet. Can someone explain to me why?

Homework Statement After a short engine firiing, an atmosphere-probing rocket reaches 4.6km/s. If the rocket must land within 50km of its launc site, what's the max allowable deviation from a vertical trajectory. Homework Equations none The Attempt at a Solution Given by the...

Homework Statement A construction worker stands in a 2.6m deep hole, 3.1m from the edge of the hole. He tosses the hammer to a person outside the hole. If the hammer leaves his hand 1m above the bottom of the hole at an angle of 35, what is the minimum speed needed to clear the edge. Homework...

Hi, so I am trying to model the path of a tennis ball when serving. I already have the model without air resistance, but now I'm getting into differential equations with the air resistance. I obtained two differential equations for acceleration that i think are correct, but I'm not sure where to...

Question: A cannon, located ##60.0 m## from the base of a vertical ##25.0 m## tall cliff, shoots a ##15 kg## shell at ##43.0°## above the horizontal toward the cliff. What must the minimum muzzle velocity be for the shell to clear the top of the cliff? I have attempted a solution that I'm...

Hello, My end goal is to calculate the vertical and horizontal displacement of an object that explodes in the air e.g. a firework. However, I am having difficulty deriving the initial velocity of the object. I know the approximate time is 5.0 seconds from the ground to explosion and the...

Question; A rocket launched at 70 degrees to the horizontal has constant net acceleration of 8m/s^2 along its path for 6.5 seconds and then is in free fall! What is the rockets maximum height? Ps answer is 281m I couldn't help but look lol Solution attempt: From the net acceleration I got...

I have another question for you guys:)! I have solved something and I just want to know if my method is ok!A ball of mass m is ejected from a mortar at speed v and angle θ to the horizontal, at the top of its trajectory it explodes into two equal pieces of mass m/2 and one drops vertically what...

Homework Statement A thin, uniform bar, 2, long and weighing 90N is hanging vertically from the ceiling by a frictionless pivot. It is struck by a small 3kg ball, 1.5m below the ceiling, initially traveling horizontally at 10 m/s. The ball rebounds in the opposite direction with a speed of 6...

Homework Statement I need help deriving some formulas, specifically the theoretical speed of a bob at the bottom of a pendulum where the string is horizontal from the lower rod to the bob. Background / Introduction 1. A small weight at the end of a string of length, L, forming a simple...

Homework Statement bullet shot horizontally over level ground with a velocity of 300m/s. at the instant that the bullet leaves the barrel, its empty shell casing falls vertically and strikes the ground with a vertical velocity of 5.00m/s how far does the bullet travel what is the vertical...

The Problem: A plane is dropping supplies to a clearing in the forest. The plane will approach the clearing at an altitude of 150 m while flying level at 40 m/s. Why can't the plane drop the supplies while directly over the clearing and at what distance should it release them to arrive to...

Homework Statement A rock is thrown down off a cliff at 18 m/s at an angle of 17 below the horizontal. If the rock hits a cliff that is 16m away, how far down did the rock fall. Homework Equations Vf= Vi + at change in Y= Vit + .5at^2 The Attempt at a Solution I tried solving for...

Homework Statement Water travels through a pipe with a radius of 1 inch at a speed of 2 m/s. There is a nozzle at the end of the pipe with a radius of 1/4 inch. The pipe is horizontal and 2m above the ground. How far does the water travel in the air before hitting the ground? r1 = 1 in. r2...

Homework Statement As shown in the figure below, a particle is moving in a circle of radius R with constant speed v. At some location, the particle is detached from the circle and falls with a parabola path to point A. What is the horizontal range x of the projectile?Homework Equations Writing...

Homework Statement Background The concepts of torque and angular momentum are unnecessary when analyzing the motion of a projectile; however, using these concepts for an analysis of projectile motion does show that the concepts are perfectly general, and are not restricted purely to the...

Homework Statement Hello everyone, first time poster, long time lurker here. I'm currently enrolled in an online grade 11 physics course and don't have immediate access to a teacher, nor do they seem as helpful and friendly as PF! My algebra skills are not the best, so I may need a little...

Hello! So my class is doing a projectile launcher project, in which you build a launcher and have to hit a certain target, constantly, each time. I already based mine off an air compressor. It's a copper tube attached to an air compressor. It works perfectly, but the problem is I haven't...

Hello All, I'm currently working through a scenario in which the following occurs : An object of mass M1 (kg) approaches a rotating wheel at a speed of S1 (m/s) along a belt The belt is at an angle Th1 (degrees) to the horizontal axis The rotating wheel has a linear velocity equal to S1...

Homework Statement There's a ramp at the top of a table. You hold a ball of mass m1 at the top of the ramp, and release it starting at rest, so it hits ball with mass m2 which is initially at rest at the bottom of the ramp. The ramp is set up, so the first ball hits the second, and they...

Lab issue -- Please check my projectile launcher calculations I am making a lab for a class I teach and my results aren't working out and I need another pair of eyes to see if my method is wrong (I apologize if this should go in homework, but it isn't a homework question so I thought it should...

A ball is thrown at an unknown speed at an angle of 30 degrees. The initial and final height from the ground is 0 meters. What speed should the ball be launched at in order for it to land on the ground 3 meters from the launch point? Here is what I tried...

Sorry not to follow the template, but I am seeking help finding practice problems, rather than asking for help on a specific question. I am specifically searching for a practice problem regarding both projectile and circular motion/centripetal acceleration. Furthermore, I would prefer...

If a point of the parabolic path the velocity be u and the inclination to the horizon be θ, at what time the particle is moving at right angle to its former direction. I was trying to solve it using vectors. My friend gave me a clue of applying some geometry to the parabolic path given below:-...

Just wanted to confirm: in a projectile launched at an angle if you know the intital velocity In the vertical direction , will the velocity in the y direction just before it lands be the same? Also the angle just before it lands will be the same as the intital angle, right?