Projectile Definition and 1000 Threads

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. E

    Maximum Distance a Projectile Moves Up an Inclined Plane

    the red line is the initial velocity, the grey parabola is the path of the projectile. hi there...I'm kinda stuck at the part b of this problem. I can do part a with no problem. can anybody explain to me how to do the differentiation needed to solve part b?? by explain I mean explain the...
  2. jamiebean

    Why Does Projectile Motion Involve Zero X-Component Acceleration?

    I intended to finish the question with the equation of linear motion with constant acceleration, but it didn't work out. And I have no idea about the t^3 and t^4 of the position. How can I find the x component of the acceleration at time 3.4 s ? Where is the acceleration rate?
  3. T

    Projectile Motion — How far from the gun does the bullet land?

    I don't know how to link the x-component and y-component together.
  4. iamcgettigan

    How do you find the initial velocity of a projectile given angle/distance?

    I tried resolving the information given into vertical and horizontal components. I then tried to find time, as this is how I would find the initial velocity. However, I am unsure of how to use the angle in this problem to help solve it. I am also unsure of how to find the initial velocity only...
  5. S

    Projectile motion on an inclined plane

    a. I tried to "rotate" the inclined plane so the surface of the inclined plane becomes horizontal h = Vi sin θi . t - 1/2 g cos ∅ t2 and when it falls to the plane, y = 0 so: 0 = Vi sin θi . t - 1/2 g cos ∅ t2 t = (2 Vi sin θi) / (g cos ∅) Is this correct?b. Particle hits the plane vertically...
  6. K

    The Determination of the Launch Angle of a Projectile

    Hi, I am new here to the forum and I am having trouble with a project that I am undertaking with some friends. We are trying to build a firefighting robot. I am trying to derive an expression to solve for the launch angle theta of the water so that at x (meters), the projectile will be at 0.33...
  7. L

    Projectile motion of a two-point rigid body

    I would like to patch some gaps in my physics background. For example, I've been trying to come up with the sollution to the following: I have a model rigid body made up of two mass points and a massless rod connecting them. I throw the body with initial velocity under some angle of elevation...
  8. B

    Projectile Compresses a Spring Gun

    This is a common homework problem and I did find a post here that talks about it, but that post was closed to comments, so I am reproducing it to be able to ask a question. We are, apparently, according to solutions I have found, supposed to recognize that it is an inelastic collision, since...
  9. T

    Projectile Motion with Air Drag

    Tell me now if this question is posted in the wrong place. This isn't a homework problem per se, it's just a question I need answered and I'm not sure how to answer it. If there is any information missing, chances are I know it and forgot to post it, so please ask if something is missing. I...
  10. velocityoverrtime2

    How do I calculate the time and distance for a pendulum projectile problem?

    Tried to find time in seconds in order to use the formula d=vt and find the distance in the x plane in which the target must be placed, to no avail.
  11. R

    Projectile Motion : Work and Energy

    The problem is based on a projectile-spring launcher. A ball is loaded into a tube that pushes back a spring and is then launched. The ball was launched straight horizontally not at an angle. I'm trying to find the work done on the ball by the spring. The info I have: Displacement of spring =...
  12. E

    Projectile motion with linear drag

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  13. B

    Horizontally Launched projectile landing on curved ground

    If I'm being completely honest, I have never done a problem where the projectile is being launched over a curved ground so I am not sure where that given equation plays a part in finding my x and y components.
  14. B

    Projectile Motion Calculator: Find Distance and Final Velocity

    Vx = 10cos(23) = 9.21m/s Vy = 10sin(23) = 3.91m/s -30 = 3.91t + 1/2(-9.8)t^2 0 = t(3.91 - 4.9t) + 30 4.9t = 33.91 t = 6.92s Delta X = 9.21(6.92) + 1/2(9.8)(6.92)^2 Delta X = 298.38m Vf^2 = 9.21 + 2(9.8)(298.38) Vf^2 = 5857.458 Vf = 76.53m/s
  15. N

    Comp Sci Projectile motion plot with odeint

    import numpy as np from scipy.integrate import odeint import matplotlib.pyplot as plt c=0.65 g=9.81 # gravitational force on earth angle=50 # angle at which projectile is launched m=0.1 #returning dx/dt, dy/dt, dv/dt as an array def model(yaf,t): x=yaf[0] # x position is first element of yaf...
  16. M

    Find the time when the projectile runs into the hill (with air resistance)

    vy=vter + (vy0 -vter) e-th/τ where tau=m/b EQ 1 Okay, for part a, I used Eq 1 I let vy=vy(th)=0 --->The reasoning is that the projectile would stop moving for a short time when it hits the incline, but I have a feeling that reasoning is faulty I let vy0=v0sinθ Then the equation became...
  17. L

    Deriving an equation for theta via the Projectile Motion Trajectory Eq

    Perhaps I should ask this question in the math section of these forums. But, I'm stumped and I don't think this equation is solvable? Find theta given all the other variables:
  18. T

    I Projectile angle (straight line) between 2 planets

    I have a planetary system with planets orbitting a central star (circular orbits). I want to shoot a projectile P in a straight line from planet A to B and need to calculate the angle or vector to shoot the projectile P. I know the straight line of the projectile is physically not correct, but...
  19. A

    Projectile Motion with Unknown Initial Height

    First, I tried solving for the total time of flight, which I got as 100 = 5cos25*t --> t=22 s Since we know the height at which the object lands, but not at which it is launched, I tried setting up the equation as: yf = 40 - y0 = y0 + 5sin25*(22) - 1/2(9.8)(22)^2 However, I got y0 = 1183 m...
  20. jisbon

    How to Derive Time Taken in Projectile Motion?

    The below attempt will look messy, but I'm really kind of stuck as how to proceed on here. Thanks for any advice.
  21. Sebastian_

    In a Projectile Motion Question, How to Find Theta?

    Solving the relevant equation tan-1(30/7) = 76.865977693604 = 77 Just need confirmation or a correction since I am very new to physics in general
  22. Prabs3257

    Laws of motion and a projectile thrown from an accelerating elevator car

    At the moment of throwing the ball the ball will have a vertical vel of 4 and horizontal of 3 wrt to elevator so as seen from inside the elevator the ball will behave like a projectile where g(eff) = 8 and with time period 1 sec hence range will be the displacement which should be 3 m but ans...
  23. F

    Why is my simulation of projectile trajectory with air resistance wrong?

    Hey! This started very harmless... A friend and I were throwing stones in a lake. Mine didn't get very far, he was teasing me "What was the ideal angle again?". Of course, I know it should be 45°. I replied in jest: "That's because I'm considering air resistance!" Then we had a discussion what...
  24. Benjamin_harsh

    Is my formulae correct for time of flight in this projectile problem?

    ##V_{oy} = V_{0}.sinθ = (20 m/sec)(sin 30) = 10 m/sec## ##V_{ox} = V_{0}.cosθ = (20 m/sec)(cos 30) = 17.3 m/sec## ##y = y_{0} + V_{oy}t - \large\frac {1}{2}\normalsize gt^{2}## ##0 = 50 + 10t - 4.9t^{2}## ##0 = 4.9t/6{2} - 10t - 50## ##t = \large\frac {-b±\sqrt {b^{2} - 4ac}}{2a}## ##t =...
  25. M

    Projectile motion over an inclined plane

    I have attached below the solution provided by the textbook. I understand the whole solution, except when they divide the horizontal component and the vertical component and equate it to the tangent of 30. What seems strange to me is that, while initially the equation for the vertical component...
  26. F

    Path of a projectile with a non-constant gravity

    The typical equation for the height of a projectile on Earth after ##t ## seconds is ## h = -4.9t^{2}+vt+c## where ##v## is the velocity of the projectile and ##c## the initial height. This is nice and all but what happens if the height is very large? The leading coefficient of the equation...
  27. C

    Projectile Motion Distance Calculation

    This based on velocity being constant. Define x0 and y0 to be zero and solve for the desired quantities.
  28. pluralangel

    seeking help finding the initial velocity of a type 3 projectile

    hi, so I've been trying to find the initial velocity of this projectile; but i ended up getting a negative value for seconds squared. I've gone over my solution multiple times but don't see where i went wrong. alternatively, was i supposed to take the absolute value of seconds squared? thanks...
  29. R

    How can I find the initial velocity of a projectile on an incline?

    I have tried for a couple hours now and I just cannot seem to figure out what to do. I am able to to find the the x and y components for acceleration (Xa = 0, Ya = -9.8) and distance (Δx = 54.32, Δy = 8.60) but without any of the other components I am having trouble finding Vo. Any help with...
  30. J

    How to find the max height a projectile can reach on a hillside

    Here's a fully typed version of the problem with a diagramMy attempt: Given the angle of the hill, I know that the horizontal displacement of the arrow and my vertical height on the hill are related by ##Δx=d+\frac h {Tan(60)}## ...(1) where d is the distance of the enemy from the base of...
  31. melel

    What is the maximum distance of projectile?

    I don't know how to begin.
  32. Badgun

    Impact of several variables on resulting projectile motion trajectory

    I was told to generate these variables (m, C, alpha, wind velocity) normally distributed and compare the random data with the result and then tell, which of the variables has the most impact. Here I am stuck, tried to compare variances, kurtosis and skewness of the data (the original variables...
  33. babaliaris

    Projectile Motion: Path's length?

    So I just learned about projectile motion. I understand why you can study it as two independent straight line motions . But this can give you a way to calculate total velocities or accelerations, just by adding its individual component of each vector. If the initial position of the projectile...
  34. E

    Projectile Motion Experimental Error

    Homework Statement I got an experimental vertical acceleration of -12 m/s^2 of projectile motion for an experiment I did at home where I just had to throw a ball at around 45 degree to the horizontal up in the air and record it's motion, then analyze the motion via computer software. Obviously...
  35. R

    Projectile motion -- Maximum range it can travel inside a 2m tunnel

    Homework Statement A particle is projected inside a tunnel which is 2 m high and must not hit the side or ceiling of the tunnel. If the initial speed is U show that the maximum range of the particle inside the tunnel You may assume that the maximum range is attained when the projectile just...
  36. C

    Projectile Question -- Kicking a soccer ball through two holes in two walls....

    Homework Statement Find the initial velocity for the above soccer kick. Note that ball must cross the 2 points in the diagram within the two walls. Linked below is the diagram Homework Equations dx = v1(cos theta) * t dy = v1(sin theta) * t - 0.5at^2 The Attempt at a Solution I tried using...
  37. D

    Horizontally launched projectile

    Homework Statement A bomb is launched from the front of a plane horizontally. The inicial velocity of the bomb is ##v##, the inicial velocity of the plane is ##u##. Find: The trayectory of the bomb with respect to the ground.The trayectory of the bombb with respect to the plane.The trayectory...
  38. ju456one

    Projectile Motion: Pitcher throwing a ball to a catcher

    Homework Statement determine the acute angle (in radians) of appropriate elevation in the throwing of a ball, if the initial velocity is 20 m / s, g=9.81 m/s^2 and the distance in x is 40m. The ball leaves the hand of the pitcher with an elevation equal to 1.8m and the catcher receives it at...
  39. T

    What is the Ideal Angle for a Frog's Jump to Reach 3 Meters Horizontally?

    Homework Statement A frog jumps at t=0s and follows a projectile motion. The maximum height he reaches is 0.45m. The air resistance can be neglected. a) What is the initial speed of the frog in y-direction and how long is the total time until he lands on the ground? b) At which degree should...
  40. opus

    Projectile motion problems with No horizontal acceleration

    For projectile motion problems, we say that the horizontal component of the ball's path has no acceleration. The vertical component does, which is due to gravity, but in projectile motion it is true that horizontal and vertical motion are independent of each other. My question is in regards to...
  41. S

    Projectile launched from an inclined plane strikes a wall horizontally

    Homework Statement There is an inclined plane which is inclined at an angle of 37° to the horizontal. A projectile is projected perpendicularly to the inclined plane at a velocity of 50m/s such that it strikes a wall kept at the foot of the inclined plane perpendicularly. Find the time taken...
  42. G

    Stress, Strain, and Sound in a Projectile Steel Rod

    Homework Statement .[/B] For a certain type of steel, stress is always proportional to strain with Young's modulus 20 x 10^10 N/m^2. The steel has density 7.86 x 10^3 kg/m^3. A rod 80.0 cm long, made of this steel, is fired at 12.0 m/s straight at a very hard wall. a) The speed of a...
  43. H

    Varying Gravity and Air Resistance in projectile motion

    Salutations, I have been trying to approach a case about projectile motion considering variation of gravity acceleration and air resistance: A spherical baseball with mass "m" is hit with inclination angle $\theta$ and launching velocity $v_0$, then, the wind has a drag force equals to ##F=kv##...
  44. P

    Calculating Slingshot Projectile Motion - Finding Initial Velocity

    Homework Statement "The slingshot exerts 40 N for 0.25 s. If Red bird is released 5 meters above the ground, and kills the pig, how far away is the pig?" m = 0.75 kg; angle = 45 degrees Homework Equations x = (initial velocity in x-direction) * (time)[/B]The Attempt at a Solution In order to...
  45. S

    I Math of charts derrived from projectile motion equations

    Recently I was playing around with the idea of graphs of projectile motion and I started wondering what it would look like if someone were to graph every parabolic trajectory of a single initial velocity over all angles between o and 90 degrees above the horizontal. I decided to find out so in...
  46. Bilal Rajab Abbasi

    Projectile motion problem, given the KE at the top of the parabolic arc

    Homework Statement Calculate the angle of Projection for which Kinetic Energy at the highest point of trajectory equal to one-fourth of its kinetic energy at point of projection? Homework Equations Range and height of Projectile equations The Attempt at a Solution [/B] I've made two...
  47. A

    Calculating spring constant of a spring loaded cannon

    Homework Statement if you wanted to build a spring launched cannon that will shoot you over a building that is 35 m high and 30 m wide, and the cannon is being shot at 60 degrees. If the cannon can be no more than 2 m long, what spring constant do you need in the spring to make this work? here...
  48. M

    Projectile motion - determining initial velocity and angle

    Homework Statement An archer launches an arrow from coordinates ##(0, 0)## at an angle ##\alpha## and with an initial velocity ##v_0##. There's a target located ahead of the archer and the center of that target is at coordinates ##(d, h)##. At what ##v_0## and at what angle ##\alpha## does...
  49. B

    How Do You Solve a Projectile Motion Problem?

    Homework Statement A projectile is fired with an initial speed of 46.6 m/s at an angle of 42.2 ∘ above the horizontal on a long flat firing range. 1-Determine the maximum height reached by the projectile. 2-Determine the total time in the air. 3-Determine the total horizontal distance...
  50. T

    Where on the hill does the projectile land?

    Homework Statement A projectile is shot at a hill, the base of which is 320 m away. The projectile is shot at 60° above the horizontal with an initial speed of 79 m/s. The hill can be approximated by a plane sloped at 19° to the horizontal. The equation of the straight line forming the hill is...
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