What is Projectile: Definition and 1000 Discussions

A projectile is any object thrown by the exertion of a force. It can also be defined as an object launched into the space and allowed to move free under the influence of gravity and air resistance. Although any object in motion through space (for example a thrown baseball, kicked football, fired bullet, thrown arrow, stone released from catapult) may be called projectiles, they are commonly found in warfare and sports. Mathematical equations of motion are used to analyze projectile trajectories.

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  1. Z

    Artillery projectile motion problem

    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...
  2. Z

    Projectile Problem: Solving an Artillery Shell Problem

    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...
  3. jdawg

    Projectile Distance: Earth vs. Moon

    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...
  4. G

    Basic projectile motion question

    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?
  5. I

    Projectile Motion with a Moving Observer

    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...
  6. I

    Projectile Motion fired from a cannon

    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...
  7. S

    Maximum height of a projectile thrown from a rooftop

    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...
  8. B

    Does the formula v=∆x/(cos⁡θt) give the TOTAL velocity of a projectile

    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 -...
  9. N

    Prove that a projectile launched on level ground

    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...
  10. E

    Projectile Motion rock throw Help

    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...
  11. N

    Throwing a projectile so that it clears the window

    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...
  12. G

    Height of a building with a Projectile

    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...
  13. B

    Velocity of water from a hose using projectile motion experiment

    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 -...
  14. J

    Projectile Motion launch angles

    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...
  15. A

    Projectile motion cannon ball angle

    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...
  16. J

    Projectile motion: determine launch angle

    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...
  17. M

    Projectile lands on an incline.

    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...
  18. G

    Projectile Motion Unusual Problem

    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)=...
  19. N

    Why is magnitude g instead of vector g used in range projectile

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

    Max Allowable Deviation for Projectile Range of 50km

    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...
  21. N

    Projectile Motion: Minimum Speed for Clearing an Edge

    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...
  22. S

    Projectile motion of tennis ball with air resistance

    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...
  23. I

    Kinematics - Projectile Motion

    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...
  24. V

    Initial Velocity - Projectile Motion

    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...
  25. KiNGGeexD

    How Do You Calculate the Maximum Height of a Rocket Launched at 70 Degrees?

    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...
  26. KiNGGeexD

    Projectile Motion: Methodology Check

    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...
  27. B

    Projectile hits rod hanging from pivot.

    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...
  28. M

    Deriving Projectile Pendulum Formulas for Theoretical Speeds | Homework Help

    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...
  29. yogoes123

    Projectile Motion Bullet Shot Help

    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...
  30. P

    Super Fun Projectile Motion Problem Such Wow

    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...
  31. M

    Projectile motion rock off a cliff

    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...
  32. D

    Fluid Flow and Projectile Motion

    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...
  33. F

    Projectile Motion with multiple variables

    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...
  34. mathwhiz

    What is the Angular Momentum of a Projectile at a Given Time?

    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...
  35. P

    Projectile Motion Clarification/Help

    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...
  36. J

    Projectile Launcher Project: Solutions Needed

    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...
  37. R

    Projectile Trajectory - as influenced by multiple factors

    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...
  38. O

    Projectile Kinetic Energy Calculation

    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...
  39. R

    Lab issue - Please check my projectile launcher calculations

    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...
  40. T

    Simple Projectile Motion Problem. Unknown initial speed.

    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...
  41. N

    Do you know of any questions regarding projectile and circular motion?

    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...
  42. J

    School Projectile Motion Problem

    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:-...
  43. C

    Projectile Question: Intital Velocity & Angle

    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?
  44. C

    Projectile motion of a cannonball

    Homework Statement A cannon fires a cannonball 500 m down range when set at a 45 degree angle.At what velocity does the cannonball leave the cannon? Homework Equations Vyi=sin45 * Vi Vxi=cos45* Vi The Attempt at a Solution I don't know how to do this question?? Can someone help me? If u had...
  45. T

    Vertical Projectile Motion, Calculate height

    Homework Statement A body is dropped from a height of 300 m. At exactly the same moment another body is projected from the ground vertically upwards with a velocity of 150 m.s^-1. Calculate the … 3.2.1 time it will take for the two objects to reach the same height. The Attempt at a...
  46. H

    Initial velocity given distance, height, theta. Projectile motion

    Homework Statement A baseball is thrown just so that it is able to pass a wall 10m high at a distance that is 1000m away. If it is aimed 30 degrees above the horizontal, what is the initial speed of the baseball? Homework Equations relevant equations shown at the attempt at the solution...
  47. L

    Projectile motion - equations giving different answers?

    Homework Statement If an object is being launched from the top of a staircase 1.31m high from a pipe 16cm long, at an angle of 60 degrees. Find where the object will land if the initial velocity is 5.442m/s. Homework Equations dx = 2v1^2sinθcosθ / g dy = vyΔt+1/2gΔt^2 dx = vxΔt...
  48. L

    Projectile Motion Lab: Accuracy and Factors Affecting Range

    Gr. 11 Projectile motion lab? Homework Statement we are conducting an experiment where a ball is being shot from a cannon from a height of 1.435m we have already calculated our initial velocity, which is 5.442m/s, by timing and measuring when the ball is shot and lands 5 times. Then find...
  49. N

    Projectile Motion on Escalators: Ice Cream Dilemma Explained

    Homework Statement You are at the mall on the top step of a down escalator when you lean over laterally to see your 1.8 m tall physics professor on the bottom step of the adjacent up escalator. Unfortunately, the ice cream you hold in your hand falls out of its cone as you lean. The two...
  50. F

    Projectile motion maximum range problem

    Homework Statement A projectile is fired at 30 km/h at the angle θ in x direction of an x-y plane. Ignoring the effects of air resistance, find the maximum range and the value of θ that gives this range Part A: write down the initial horizontal and vertical components of the velocity Part...
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