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. V

    Horizontal projectile motion lab

    This is how I think the set up of the lab should look like. I've decided the height to be y=1,5m. The length x is assumed to be 0.32m. where Voy =0m/s the time it takes for the marble to drop 1,5m is 0,55s the inital velocity of the marble is around 0,47m/s I Think I have the...
  2. ayderay

    Projectile Motion: Calculations for a successful basketball shot

  3. 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...
  4. 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?
  5. 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.
  6. 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...
  7. 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...
  8. 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...
  9. B

    At what angle do we have to kick a ball up the hill for n-rebounds?

    I decided to try and find a solution in a green (tilted) coordinate system. I started solving this problem with thinking about 1-rebound: ##⟹y=0, α=\text{angle under which we kick a ball}##; ##y=sin\alpha v_0t-\frac{1}{2}gt^2##; because I'm trying to solve this in a tilted system, I have to...
  10. 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...
  11. 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...
  12. 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.
  13. 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 =...
  14. O

    Comp Sci Ball rebounding off of a wall

    My attempts involved using suvat equations to determine the rebound distance : S = 0.5 * (u + v)*t With u being 50 and v being 0 t being time taken to fall down (Height of impact / gravitational acceleration) t = 48.41 / 9.81 Plugging the numbers in gives S = 123.365m This is where i get...
  15. E

    Projectile motion with linear drag

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  16. 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
  17. 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...
  18. MikeyDoubleDEE

    Need to find the spring constant to achieve Max Velocity

    Hello All. I am mentoring a high school student in my area with his class project for school. He has chosen he wants to launch an object (in our case, a softball) into a 5' diameter area. The idea is to build basically an oversized slingshot using an extension spring as the source of energy. We...
  19. 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:
  20. 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...
  21. Jregan

    A golf ball being hit on the moon vs Earth

    I am just not sure if I did this properly. My professor hasn't really gone over when to use the range equation but I would assume range would equal the distance traveled therefore can be used for this problem. If not the how would I go about solving this? I did 1/6*9.8=1.63 for g on the moon...
  22. MrDickinson

    Project Motion/Trigonometry Question

    My reasoning and answer is wrong, but I cannot figure out why. Perhaps it is strange, perhaps not, but I want to figure out why my initial method of solving this problem did yield an incorrect answer. I began by creating an equation and drawing a right triangle. x is the horizontal part of...
  23. jisbon

    Projectile motion (time taken)

    The below attempt will look messy, but I'm really kind of stuck as how to proceed on here. Thanks for any advice.
  24. 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
  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. C

    Projectile Motion Distance Calculation

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

    How does the release angle of a catapult affect the object's velocity?

    [Moderator: repeated text removed.]
  28. 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...
  29. 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...
  30. 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...
  31. 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...
  32. 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...
  33. caters

    Boomerang Problem, solving it

    Homework Statement A boomerang is thrown with an initial linear velocity of 5 m/s at an angle of 30 degrees vertically. The initial angular velocity is ##2\frac{revolutions}{s}## At its peak, it has a displacement about the z axis of 2 meters and about the x-axis of 10 meters. The force applied...
  34. Lapse

    Need to find final Height, Equation not Working

    Homework Statement Homework Equations The kinematic equations--namely, Sf = S0 + V0Δt The Attempt at a Solution [/B] I am a bit confused as it seems this problem is very straight-forward. My known variables: X0 = 0m Y0 = 1.7m Δt = 3.92s V0 = 29m/s Θ = 60ο Yf = ? So, I just use the above...
  35. 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...
  36. K

    AP Physics C Momentum Problem: A dart launched horizonally by a spring gun

    Homework Statement A boy launches a 20 g dart horizontally by a spring gun from a balcony 45 m above the ground. The dart lands 15 m away from the balcony. If the length of the gun’s barrel is 10 cm, what is the average horizontal force applied by the spring?(A) 1.0N (B) 2.0 N (C) 2.5 N (D) 5. N...
  37. T

    Projectile motion, ideal angle

    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...
  38. 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...
  39. Why Vertical Velocity changes & Horizontal does not?

    Why Vertical Velocity changes & Horizontal does not?

    Projectile motion involves velocity in vertical and horizontal direction. It is important to understand that the two are independent of each other. Solving problems becomes much easier with this simple understanding.
    • Vish
    • Media item
    • Motion in 2d Physics Projectile motion Vertical velocity
    • Comments: 0
    • Category: Classical Mechanics
  40. 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##...
  41. Fabrizio Vassallo

    Meaning of a phrase in a kinematics problem

    1. Problem statement: "An object is thrown horizontally with an initial speed of 10 m/s. How far will it drop in 4 seconds?" Homework Equations Δx = v0x.t Δy = v0y.t + 1/2(-g)t2 The Attempt at a Solution [/B] When I first read it, I thought that 'how far' means Δx, since when someone says...
  42. 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...
  43. 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...
  44. 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...
  45. 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...
  46. 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...
  47. B

    Projectile Motion Question: A projectile is fired on a long flat firing range....

    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...
  48. 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...
  49. C

    What is conceptual physics?

    I have been wondering, what is conceptual physics? I remember taking a class in high school that was physics oriented, for example two trains leave a station at different speeds, and arrive at a central point, where do they overlap. Also there were trig functions on how to find the height of a...
  50. devilish_wit

    Exploring the Acceleration of a Projectile Motion Lab

    Homework Statement We had a lab on projectile motion and one of the questions was this: Use your Vy versus t graph to determine the y-component of the acceleration of the puck. Should this be equal to the acceleration due to gravity (9.8 m/s)? Explain why it is or why it is not. The...
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