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. O

    Projectile motion where yi doesn't equal yf

    Homework Statement A hammer bro is throwing hammers with a velocity of 1.7 E 1 m/s at 51 degrees down at Mario from a ledge that is 8.5 m tall. Assume that gravitational acceleration in the Mushroom Kingdom is the same as on Earth. Determine how long each hammer in in the air. Homework...
  2. Y

    Projectile Motion - object that is shot at an angle of 55 degrees

    Homework Statement Projectile motion I have an an object that is shot at an angle of 55 degree's. (the velocity listed next to it was 35 m/s, which was not listed as Vo but I think I have to assume it is?) It is launched from the ground. it is meant to land to hit a button that is elevated by...
  3. R

    What resources does PF offer for those interested in science?

    Hi I am Ronan Ayudtud from PHI i jooined because my weakness is math and so is physics hope you can help me
  4. S

    Projectile motion: Two objects are kicked upward at different angles....

    Homework Statement Two objects are kicked upward at different angles. Object A travels a greater horizontal distance than object B. Both reach the same maximum height. Which of the following statements about the objects are true? You may select more than one. 1.Object A is in the air for a...
  5. YMMMA

    Physics: Projectile Motion - Maximizing Soccer Ball Distance/Hang-Time

    Homework Statement The question is in the pic. Homework EquationsThe Attempt at a Solution I answered it B. Still i am not quite sure whether it is B or E. I assumed some numbers, though.
  6. M

    Projectile Motion: initial velocity problem

    Homework Statement Determine the initial velocity of a projectile that reuturns to launch level 10.0 seconds after it is launched and lands 300.0m away from the launch site. Homework Equations Δx=v0xt Δy=v0yt+1/2gt2 The Attempt at a Solution [/B] 300=v0x(10) v0x=30m/s I don't...
  7. DLeuPel

    How to get R= 2 ( square root ) h1h2

    Problem : A ball is let down a ramp on top of a table with initial velocity of 0 ms-1. When it reaches the end of the ramp, it is launched horizontally. Knowing that we don’t take air resistance or friction into account, and that the height of the ramp is h1, and that of the table is h2...
  8. DLeuPel

    I How to get R= 2 ( square root ) h1h2

    A ball is let down a ramp on top of a table with initial velocity of 0 ms-1. When it reaches the end of the ramp, it is launched horizontally. Knowing that we don’t take air resistance or friction into account, and that the height of the ramp is h1, and that of the table is h2 relative to ground...
  9. Jacquelyn

    Uniform Circular Motion and Projectile Motion Help

    Homework Statement A 60 g ball is tied to the end of a 40-cm-long string and swung in a vertical circle. The center of the circle is 150 cm above the floor. The ball is swung at the minimum speed necessary to make it over the top without the string going slack. If the string is released at the...
  10. J

    How Far Will the Glasses Land from the Stopped Bicycle?

    Homework Statement A m=77.39 kg person on a bike is riding at v0,b=11.83 m/s. Suddenly, he sees a child running across his path! He applies the brakes that provide a deceleration of a= -4.192 m/s2. His glasses were not attached properly to his face, so they fly away and land on the pavement...
  11. J

    Projectile motion with only distance, an angle and a ratio

    Homework Statement launch angle of θ=41.86°. The distance to the wall is d=11.06 m, and it strikes the wall with speed that is a fraction f=0.925 of the initial speed, while it is still gaining height (i.e., it has not the highest point of the trajectory). What is the initial velocity? Express...
  12. T

    Projectile motion with non-uniform gravity.

    I am trying to answer a question about projectile motion were the change in height is that significant that the gravity cannot be assumed constant.
  13. DracoMalfoy

    Projectile Motion Kinematics: A catapult launches a rock....

    Homework Statement A catapult launches a rock with an initial velocity of 50m/s at 35 degrees above the horizontal. The rock must clear 3.5m at 10m away in order to make it over a castle wall to get to the enemy. Do the knights succeed? By how much do they clear the wall or miss clearing the...
  14. DracoMalfoy

    A stone is thrown off a bridge....

    Homework Statement A stone is thrown off of a bridge that is 40m above the water. The stone lands 48m from the base of the bridge. The stone was thrown with an initial velocity of 15m at 30 degrees above the horizontal. What is the maximum height the stone reaches above the water? (ans:42.87m)...
  15. DracoMalfoy

    Projectile Motion Kinematics: Finding maximum height

    Homework Statement A ball is kicked with an initial speed of 20m/s at an angle of 50° above the horizontal. What maximum height does the ball reach? Homework Equations Vfx=VicosΘ Δx=VicosΘt Vfy=(VisinΘ)+ay⋅t (Vfy)^2=(VisinΘ)^2+2ay⋅Δy Δy=1/2(Vfy+(VisinΘ))⋅t The Attempt at a Solution I...
  16. baldbrain

    'They' haven't considered centripetal acceleration

    Homework Statement A train is moving counter-clockwise with a constant speed of 10 m/s in a circle of radius ##\frac {16} π## m. The plane of the circle lies in the x-y plane. At time t = 0, the train is at P, when a stone is thrown from it with a speed of 10 m/s relative to the train towards...
  17. A

    Projectile motion of a cannon ball versus time

    Homework Statement A cannon is inclined about the horizontal by an angle of 45° and it launches projectiles with initial velocity of ##v_p=300m/s##. A small airplane moves horizontally with a constant velocity of ##-100m/s##(so it is directed to the cannon) at high of ##500m##. If at ##t=0s##...
  18. S

    Air resistance in projectile motion

    In lower-division physics classes, air resistance is usually ignored to make the mathematics of projectile motion easier to understand. When air resistance is included, it's often stated that at lower velocities, air resistance is proportional to the velocity of the object, Fair ∝ kv At...
  19. AkshayM

    Projectile Motion and acceleration of particle

    Homework Statement If a particle moves in X-Y plane with acceleration non zero in X and Y , the particle will not move in a parabolic path True or False ? Homework Equations X = UxT + 1/2(Ax)T^2 Y= UyT + 1/2 (Ay)T^2The Attempt at a Solution The equation of trajectory that i came up with...
  20. P

    Projectile Motion: Initial Velocity Derivation

    Hey guys, I am working on a school project and have fired some water rockets at different angles. I am now trying to compare theoretical results vs experimental results. But I am struggling to produce an accurate mathematical model. I have attached my attempt to this post. It is quite long and...
  21. L

    In the horizontal direction, what is the initial velocity of the projectile?

    A projectile is launched horizontally at A w/ a speed of V. The time flight is 8 seconds and the path of the projectile at B is inclined by 15 degrees w/ the horizontal. A. What is the V at A? B. What is the range? C. What is the launched height? https://imgur.com/a/SJjWjuj I tried solving for...
  22. C

    Air resistance - freefall and horizontal projectile motion

    We have two identical balls sitting at the same height. One of them is released without applying any force (it falls freely) and the other one is given a non-zero horizontal velocity. Which of them will hit the ground first? The force of air resistance is proportional to the square of the...
  23. L

    What Calculations Determine the Volleyball's Trajectory in Projectile Motion?

    The volleyball player serves the ball from pt.A w/ an initial Vo at angle theta to the horizontal. If the ball just cleared the net at pt. C and landed on the base at line B. Determine the value of theta. Determine the value of Vo. Determine the time reach to the highest point at the...
  24. Beth N

    Projectile Motion: time it takes for projectile to hit truck

    Homework Statement Problem: 5. 37 [/B] With reference to the figure below, the projectile is fired with an initial velocity ##v_0=35 m/s ## at θ=23°. Truck is moving along X with constant speed of 15m/s At instant projectile is fired, back of truck is at x=45m Find time for the projectile to...
  25. I

    In projectile motion, why we take y-component for 'TF'?

    In projectile motion, we have two components one is x and another is y. x = u cosθ and y = u sinθ But why do I take the' y' component for calculating the 'time of flight' not the 'x' component? y = ut sinθ - 1/2 gt^2, t = 2u sinθ / g
  26. X

    Question regarding projectile motion

    I was in physics class a while ago and my teacher had the trajectory of a projectile on the board. he was marking off points on it, and next to each point, right after he marked it off, he wrote 1/2 next to it, then crossed it off while saying "1/2", then proceeded like that, marking off the...
  27. prakhargupta3301

    What is the distance traveled?

    Homework Statement Only (b) part[/B] Homework Equations time of flight= (2⋅u⋅sinθ)/g ---------------- - 1 total distance (range)= u⋅cosθ * time of flight (s=vt) =u⋅cosθ * (2⋅u⋅sinθ)/g...
  28. Liszzy

    Key equation with uniform acceleration and projectile motion

    << Mentor Note -- thread moved from the New Member Introduction forum because of the general nature of the question >> Hi guys, I'm Liszzy newly join physics group. How are you everyone? I'm doing my Canadian diploma in physics and need help from you guys. I've doubt in Kinematic chapter...
  29. C

    I Integration - Projectile Motion w/ Air Resistance

    I"ve seen several texts that say something like this: Our equation of motion along x is dvx/dt = -g(vx/vt) Integrating this, we obtain equation 178 at this link (pretty near the top; sorry, but I can't figure out how to put the equation here). It's from FitzPatrick's online notes for...
  30. J

    Projectile Motion on the Moon: Finding the Optimal Launch Angle Using Equations

    Homework Statement A cannon can shoot whatever cannons shoot at different angles to the horizon, but with the same initial velocity. At what angle does the cannon shoot to a maximal distance? What would be that angle on the moon? Homework Equations d is the total horizontal distance traveled...
  31. Suyash Singh

    Projectile motion, potential and kinetic energy

    Homework Statement https://www.physicsforums.com/attachments/upload_2018-4-29_12-40-30-png.224871/ Homework EquationsThe Attempt at a Solution 1/2mv^2=10 1/2m(ucos60)^2=10 1/2mu^2/4=10 mu^2=80 what to do now?
  32. N

    Velocity of a football with and without drag

    Homework Statement A professional thrower projects a football straight up in the air. 1. Assuming there is no air drag on the football, find the speed of the football as a function of height as the ball goes up. 2. Assuming the air drag on the football varies linearly with speed, find the speed...
  33. S

    When to use quadratic equations?

    Hello everyone! Apologies if this is a very repetitive question but I have gone through previous forum posts and am still struggling to understand how to identify which equations are appropriate. In the problem below, I have used the kinematic equation of "v = v(i) + at" but my answer is...
  34. Francis Perez

    Find the Initial Velocity and Launch Angle for a Particular Trajectory

    Homework Statement Hello, so I’ve been trying to find some possible way to calculate this: The initial Velocity and angle needed to launch a projectile and reach the coordinates (x,y). The maximum height the ball can reach before it starts to head down to the target value should be y+5m The...
  35. M

    Deriving an equation to find theta: Projectile motion

    1. the question is this: a projectile's speed at launch is four times its speed at the top of the trajectory. What is the launch angle? I am given no numerical values, but from my understanding gravity is a constant 9.8, and at the maximum height velocity should be equal to 0. 2.the equation...
  36. C

    Using quadratic formula to find time [projectile motion]

    1. Homework Statement I'm doing lab, and to start we have to find ΔX of a projectile launched an angle. The first step for us is to find time, and to make it easier our teacher recommended us to first set the angle to zero, and find time like that. I don't have enough X information to find...
  37. N

    Projectile motion - microgravity astronaut training

    Homework Statement In microgravity astronaut training and equipment testing, NASA flies an aircraft along a parabolic flight path. The aircraft climbs from 24,000 ft to 31,000 ft, where it enters a parabolic path with a velocity of 143 m/s nose high at 45.0° and exits with velocity 143 m/s at...
  38. yaniv arazi

    Projectile motion: Two Balls and Building

    Homework Statement 1.[/B] two balls are thrown vertically from two points on a building. at the bottom of the building ball 1 is thrown and from the roof ball 2 is thrown. ball one reaches its maximum height after three seconds and ball two after one second. after two seconds the balls cross...
  39. isukatphysics69

    Projectile Motion Problem: Maximum Height of a Ball Shot into the Air

    A ball is shot from the ground into the air. At a height of 9.1 m, its velocity vector (in unit vector notation) is (7.6i - 4.9j) m/s; that is, vx = 7.6 m/s and vy = -4.9 m/s. What was the maximum height of of the ball above the ground? I swear to god i have been working on this for 2 hours...
  40. vAhmed

    Find final velocity in a horizontal projectile motion

    Homework Statement A ball was thrown from a cliff, it reached to the ground after 2.5 seconds. a) Find the height of the cliff. b) Find the horizontal distance the ball reached. Homework Equations Δy = 2⋅g⋅t^2 Vfy = g⋅t √(Vfy)^2+(Vfx)^2 Δx= Vx⋅t The Attempt at a Solution I've found Δy=30.6m...
  41. Humbleness

    Medical supplies dropped from a plane (projectile motion)

    Homework Statement A plane is to be used to drop emergency medical supplies (encased in a crash-proof container) to campers in Northern Ontario. The campers are in a clearing. The plane will approach the clearing at an altitude of 150m while flying level at 40m/s. a) Why can't the pilot wait...
  42. K

    Projectile Motion: stream of water

    Homework Statement (For this problem ignore the height of the firefighter) A firefighter, a distance (d) from a building, shoots a stream of water at an initial angle, above the horizontal, at initial speed (Vo). At what height (h) does the water strike the building? No values were given to...
  43. Suyash Singh

    Projectile motion and parabola

    Homework Statement A partice is projected at an angle 60 degrees with the speed 10 m/s. Then latus rectum is ? g= 10 m /s^2 Homework Equations i calculated the maximum height.Now what?? The Attempt at a Solution h= u u sin theta sin theta/2g
  44. Suyash Singh

    What Is the Optimal Firing Angle for Maximum Range When a Car Moves at 20 m/s?

    Homework Statement The maximum range of a bullet fired from a toy pistol mounted on a car at rest is R0=40m . What will be the acute angle of inclination of the pistol for maximum range when the car is moving in the direction of firing with uniform v=velocity 20m/s, on a horizontal surface ...
  45. Jay123

    Working on a simple(ish) projectile motion problem for a gaming program

    Hello ladies and gentlemen I am working on a Unity 3d game project and I am in need of some physics guidance. You probably know Unity3d has a built in physics engine, and if you don't you do now. :) I am determined to figure this out more or less on my own but I need some assistance with the...
  46. Pushoam

    Surface made by balls thrown in different directions

    Homework Statement Homework Equations I consider four directions from the point of throwing the balls, east, west, up, down. At any given time, the balls will be at different distance from this point, (the upward ball will travel less distance than the downward ball). So, it could not be a...
  47. C

    B How do you calculate how much force is applied to a thrown bal

    I’m trying to calculate how hard someone throws a ball. I know that F=ma, but the only force acting on a ball is the force of gravity and so the equation simply cancels out.
  48. R

    Projectile motion above ground given only angle and height

    Homework Statement I'm having trouble with part A of this question 1. A ball is fired out at an angle of 30° from the platform of height h = 0.5 m as shown in Figure 1. It is subjected to the gravitational force only thus follows a projectile motion. It falls onto the ground after 0.6...
  49. L

    Exploring Projectile Motion in Reduced Gravity: Calculating Football Distance

    Homework Statement A student can throw a football a max range of 60 meters. How far could he throw it if the Earth's gravity were reducted to 1/6 of its normal value , similar to the moon's gravity? Homework Equations v = .5at^2 The Attempt at a Solution I feel like i did this wrong but x =...
  50. F

    Projectile Motion Problem (Physics 12) -- Apple core thrown from a tree

    Homework Statement A child sitting in a tree throws his apple core from where he is perched (4.0m high) with a velocity of 5.0 m/s [35 degrees above horizontal], and it hits the ground right next to his friend. A) How long is it before the apple core hits the ground? B) How far from the base...
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