What is Projectile motion: Definition and 1000 Discussions

Projectile motion is a form of motion experienced by a launched object. Ballistics (Greek: βάλλειν, romanized: ba'llein, lit. 'to throw') is the science of dynamics that deals with the flight, behavior and effects of projectiles, especially bullets, unguided bombs, rockets, or the like; the science or art of designing and accelerating projectiles so as to achieve a desired performance.

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  1. R

    Projectile Motion 2D - Spring Launched

    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...
  2. D

    Projectile Motion Problem: Solving for Time and Velocity | Homework Help

    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...
  3. K

    Kinematics - projectile motion - time to maximum height?

    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...
  4. K

    What is the distance the projectile lands from the base of the cliff?

    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...
  5. R

    Projectile Motion: Solving for Specific X Values with Given Y Values

    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...
  6. 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...
  7. 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?
  8. 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...
  9. 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...
  10. 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 -...
  11. 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...
  12. 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...
  13. 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...
  14. 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)=...
  15. 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...
  16. 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...
  17. 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...
  18. 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...
  19. 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...
  20. 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...
  21. 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...
  22. 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...
  23. 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...
  24. 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...
  25. 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:-...
  26. 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...
  27. 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...
  28. 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...
  29. 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...
  30. 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...
  31. 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...
  32. 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...
  33. D

    Projectile Motion ball throw help

    Homework Statement A ball is thrown off of a 15m cliff at an angle of 30 degrees above the horizontal and strike the ground 10.4 seconds later. Determine the initial velocity of the ball, the maximum height of the ball, and impact (final) velocity of the ball. Homework Equations vo=vf+at...
  34. S

    When does the mass of object comes into projectile motion equations?

    A 78g basketball is launched at an angle is 52.4 degrees from a distance of 14.7 m from the basket. Ball is released at the same height as basket (10 feet). Acceleration is 9.8 m/s2. What speed will the player need to give the ball? I know that I'm supposed to use the kinematics and trig to...
  35. H

    Solving for Building Height and Time in Horizontal Projectile Motion

    Homework Statement A ball is thrown horizontally from the top of a building and lands 20.0m away from it. If the ball is initially thrown at a velocity of 10.0m/s, how high is the building? How long does it take for the ball to reach the ground? Homework Equations dv = Viv * t + 1/2a *...
  36. F

    Projectile Motion Problem: Finding Distance and Collision between Two Particles

    Homework Statement Points P and Q are in the same horizontal plane at a distance d metres apart. A projectile is shot from P in the vertical plane through PQ towards Q with a speed v m/s at an angle θ. Simultaneously another particle is shot from Q in the same vertical plane towards P with a...
  37. T

    Vertical Projectile Motion, Please Check My Answers

    Homework Statement Homework Equations The Attempt at a Solution 3.1) 5m.s^-1...Not sure about that 3.2) vf^2 = vi^2+2*a*deltax = 1.5^2 + 2(-9.8)*300 = 76.67 m.s^-1 down 3.3) Wnet = Ek (0.392*300) + Wf = 0.5*0.04*(76.7-60)^2...
  38. K

    Projectile motion, throwing a ball at a coconut

    Homework Statement You throw a ball at a coconut on a stand 4.0 m in front of you and 1.0 m above the point at which you release the ball. If you throw the ball at 10.0 m/s, at what angle(s) should you throw it? How long is the ball in the air in each case?Homework Equations ##v=v_o + at \\...
  39. D

    Vector Magnitudes and projectile motion

    Homework Statement A plane traveling at a speed of 1300 km/h in a northernly direction at a height of 5 km above the the ground suddenly climbs at an angle of 45 degrees to to horizon. Maintaining the speed and angle it releases a projectile as it passes through 7 km in altitude. Find the...
  40. L

    Projectile Motion Diver Jump Question

    A diver springs upward from a board that is 3.60 m above the water. At the instant she contacts the water her speed is 13.1 m/s and her body makes an angle of 67.3 ° with respect to the horizontal surface of the water. Determine her initial velocity, both (a) magnitude and (b) direction...
  41. B

    Projectile motion with air resistance

    How do we write differential equations for projectile motion in 2 dimensions featuring air resistance of magnitude kv^2, acting directly opposite to the direction of motion at that moment in time, where v is the velocity in the direction of motion at that moment in time?
  42. R

    Initial Speed and Projectile Motion

    Homework Statement So it's a projectile motion problem. I draw a graph showing the parabolic trajectory of the ball, with the start point at the origin. It's final x = 24.8m and final y = 0m Homework Equations We have three constant acceleration equations we use in my course: \vec{v}_{fx}...
  43. icesalmon

    Projectile motion of a ball thrown

    Homework Statement Julie Throws a ball to her friend sarah. The ball leaves julies hand a distance 1.5m above the ground with an initial speed of 23m/s at an angle of 26° wrt the horizontal. Sarah catches the ball 1.5m above the ground. (a) what is the horizontal component of the balls...
  44. D

    Effect of speed on horizontal displacement in projectile motion

    Homework Statement Question: Provided all else is equal, if a ball is thrown at half the original speed will it travel half as far? Homework Equations Δx = vΔt The Attempt at a Solution In projectile motion, the time of flight will be the same no matter the horizontal...
  45. S

    Finding Height With Projectile Motion

    Homework Statement A brick is thrown upward from the top of a building at an angle of 10.1◦ above the horizontal and with an initial speed of 6.74 m/s. The acceleration of gravity is 9.8 m/s^2. If the brick is in flight for 2.5 s, how tall is the building? Answer in units of m...
  46. K

    How to Calculate Javelin Throw Dynamics in Projectile Motion?

    Homework Statement Jill throws a Javelin by first accelerating it from rest through 85 cm and releasing it from a height of 2.2 m at an angle of 35 degrees and it goes a distance of 62 m. A) What are the values of the vertical and horizontal components of initial velocity? B) Find...
  47. B

    Projectile Motion (find theta)

    Homework Statement The speed of a projectile when it reaches its maximum height is 0.31 times its speed when it is at half its maximum height. What is the initial projection angle of the projectile? Homework Equations h=(Vi^2 * sin^2 θ) / 2g R=(Vi^2 * sin2θ) / g The Attempt at a Solution...
  48. O

    Confused about projectile motion

    I don't get how you would attempt problems with 'tilted' projectile motion. So basically here's a situation: You are standing on top of a building, and throw a ball down the hill (hill is linear). Find where it lands Since you are standing on top a building, you have a Δy component...
  49. MarkFL

    MHB Molly's question at Yahoo Answers regarding projectile motion

    Here is the question: I have posted a link there to this topic so the OP can see my work.
  50. G

    Projectile motion with air resistance

    Without air resistance, bodies travel in a parabola. What is the curve that is traveled when air resistance is included? I found that there are different air resistances, which curves would these types produce?
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