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. A

    Projectile Motion Gun Problem: Calculating Elevation Using Equations of Motion

    1. Homework Statement : A gun is fired from a moving platform and the ranges of the shot are observed to be R and S when the platform is moving forward or backward respectively with velocity V. Prove that the elevation of the gun is tan(inverse)[g(R - S) ^ 2 / 4V ^ 2(R + S)] 2. Homework...
  2. J

    Time Dilation of Charged Particle "p

    Picture: - - - ---------------------------------- p -> ---------------------------------- + + + Positively charged particle "p" is initially moving to the right between two capacitor plates. Is the...
  3. G

    Ballistic trajectory of a projectile (ballistic loophole)

    I am trying to find the formula for the so called "ballistic loophole" which is a technique where one will cut a small hole in a wall or structure (no bigger than 3 inches wide or tall) and shoot through it at a target without placing himself to close to the wall. I know I need the height...
  4. J

    Projectile Motion- How to Calculate Displacement

    Homework Statement I am wanting to calculate the Displacement of a projectile when it is launched at various angles, however all I have is the Initial velocity and the acceleration due to gravity. The Attempt at a Solution first attempted to approach this by calculating the horizontal...
  5. gcombina

    Projectile problem (This is a quickie)

    Hello, I need help on my basic math This is the problem A projectile is launches with 200kg.m/s of momentum and 1000 J of kinetic energy. What is the mass of the projectile. (a) 20 kg This is my math: P = mv so m = P/v m = (200 kg.m/s)/v KE = 1000 J 1000 J = 1/2 mv ^2...
  6. A

    Question in dynamics projectile motion

    Attempt solution Y=(vsinø)t-0.5gt^2 4=(vsinø)t-4,9t^2 But there is 3 variables! Another eq is X=(vcosø)t 6=(vcosø)t But i did not found any away to solution
  7. J

    Coriolis Force, Motion of projectile

    I've been wonder something about coriolis force. Well... when we consider motion of projectile on earth, we have to consider coriolis force due to Earth's rotation and we know that coriolis force varies with latitude. In the book (fowles's) they set differential equation and just...
  8. G

    Find Initial Velocity of Projectile Basketball

    Homework Statement An 1.94 m tall basketball player wants to make a basket from a distance d = 19.8 m. If he shoots the ball at θ = 58.7° angle, at what initial speed must he throw the basketball so that it goes through the hoop without striking the backboard? The height of the basketball hoop...
  9. gcombina

    How Is Momentum Calculated in Projectile Motion?

    A projectile is launched with 200 kg.m/s. If Jennifer weighs 583 N, what is the magnitude of her momentum? a) 97.0 kg.m/s b) 137 kg.ms c) 68.6 kg.m/s d) 672 kg.m/s e) 951 kg/m/s
  10. T

    What are the Kinematics of a Ball in Projectile Motion?

    Homework Statement In a friendly game of handball, you hit the ball essentially at ground level and send it toward a wall 4.6 m away. The ball is hit with a speed of 20 m/s at 40 degrees above the horizontal. a.) At what height does the ball strike the wall? b.) Calculate the speed of...
  11. S

    Kinematics: Angled Projectile Launch

    Homework Statement Determine the initial velocity of the projectile as it comes out of a cannon at a 20° angle. Homework Equations d = (Vi)(t) + 1/2(a)(t)^2 The Attempt at a Solution I've split the question into both x and y components and solved for both using the equation above...
  12. Saitama

    Projectile motion collisions problem

    Homework Statement I don't have the exact problem statement but I remember the important data. I have to find the value of ##x## in the figure such that the projectile reaches to its original position. The initial speed is ##20\sqrt{2}\,m/s## at an angle of ##45^{\circ}## with the...
  13. A

    Projectile impact contact time

    I am interested to know if there is possible to find out the contact time by a colliding object into a plate, given material properties? My object is to find out the pressure on a plate using force acting on an area. What i know: Mass of both projectile and target plate Impact velocity...
  14. P

    Firing cannons projectile motion

    Homework Statement A cannonball is fired with initial speed v0 at an angle 30° above the horizontal from a height of 38.0 m above the ground. The projectile strikes the ground with a speed of 1.3v0. Find v0. (Ignore any effects due to air resistance.) Homework Equations Time= 0=v0T-½gT2...
  15. P

    Throwing a ball against a wall for projectile motion

    Homework Statement A woman throws a ball at a vertical wall d = 3.4 m away. The ball is h = 1.7 m above ground when it leaves the woman's hand with an initial velocity of 11 m/s at 45°. When the ball hits the wall, the horizontal component of its velocity is reversed; the vertical component...
  16. C

    MATLAB Projectile motion with friction in MATLAB (ODE45)

    I'm working on a little project where I want to plot the motion of a projectile with air resistance. The air resistance can be assumed to be proportional to the velocity squared. F_{f}=-Bv^{2} F_{f,x}=F_{f}\frac{v_{x}}{v}, \ \ F_{f,y}=F_{f}\frac{v_{y}}{v} where B depends on the height...
  17. R

    Prove this equation of initial velocity in projectile motion

    Hi every one Homework Statement If (R) is to be the horizontal range of a projectile and (h) its maximum height prove that the initial velocity is: [tex] \sqrt{(2g(h+\frac{R^2}{16h}))} [\tex] Homework Equations [tex]R=\frac{v_0^2 sin(2\theta)}{g}[\tex] [tex]h=\frac{v_0^2...
  18. E

    Solving Projectile Motion: Ball Thrown from Building

    Homework Statement This is a review question from the test I did few months back, and I need to review it for my finals. A ball is thrown from the top of a building 35m high with an initial speed of Vi at an angle 30° above the horizontal. The ball strikes the ground at a point 80m from...
  19. U

    Two dimensional projectile motion

    Homework Statement A regular hexagon of side a=10√3 m is kept at horizontal surface as shown in the figure. A particle is projected with velocity V m/s at an angle θ from point k such that it will just touch the all four corners B,C,D,E. If O is the centre of hexagon and x-axis is parallel to...
  20. M

    MHB Word problem: initial height of projectile

    A ball is thrown from a cliff. The path of the ball modeled by the equation h = -5t^2+ 5t + 210, where h is the height, in metres, of the ball above the ground, and t is the time, in seconds, after it is thrown. How high is the cliff? Not really sure how to do this problem. I know that one of...
  21. W

    Kinematics Word Problem - Projectile Fired at a Stationary Vehicle

    Homework Statement A projectile is fired at a stationary vehicle. If the initial separation was 200m and the projectile traveled at a constant 75 m/s, find the acceleration the vehicle would need for a passenger to be able to reach out and calmly pull the projectile into the vehicle. (Assume...
  22. Maxo

    Projectile with air resistance

    Grεετings! :smile: I have some questions about a physics problem. I would appreciate some help with understanding this. Homework Statement The task is to plot some graphs for a projectile at different angles, first when neglecting air resistance and then including a formula for air...
  23. T

    Distance traveled by projectile

    Homework Statement Suppose you have a projectile of 120g. Suppose that projectile is accelerating at 9186.05 m/s/s for 0.129 seconds, to a velocity of 12150 m/s. Factoring in a 20% drop in Velocity from aerodynamics and friction, it accelerates to roughly 9750 m/s. What distance did the...
  24. B

    Vertical projectile mathematics

    Hello I have been struggling with this problem for a whole day, and finally admitting that i can't solve it, so i ask for help :smile: I am familiar with the escape velocity , and the speed needed to brake into interplanetary space - the Newton cannonball thought experiment. But i was wonder...
  25. T

    Understanding Projectile Motion and Friction: A Comprehensive Guide

    I have literally tried everything in my power to find the answer to these and i keep getting stuck. I really nee to find the answer so i can grasp the concept..
  26. Y

    Projectile Motion Ball Hurl Question

    Homework Statement If you can hurl a ball so that its initial speed is 30m/s, what is the widest river you can throw it across? Homework Equations The range equations, t=2(vi)(sintheta)/g d=visin2theta/g The Attempt at a Solution I know you have to use components so what I...
  27. D

    Energy problem involving a projectile (tricky)

    Homework Statement A ball (0.45kg) is kicked at 32m/s, 45° above the horizontal. If the average force of air resistance is 1N, how far will it go?Homework Equations so I figure you would need energy to solve this question but I'm having trouble finding the total distance it travels, not just...
  28. Y

    Projectile Motion Jump Question

    Homework Statement A person jumps 8.9m. The person's takeoff speed was 15m/s. What is the angle relative to the ground at takeoff? Homework Equations The Attempt at a Solution I found t using the kinematic formula to be 0.5s using the formula. d=vit+1/2at^2. Can someone tell...
  29. D

    MHB Max distance when an angle for a projectile is pi/4 neglecting air resistance

    We know that the angle of \(\frac{\pi}{4}\) causes a projectile to travel its max distance when air resistance is neglected. When we consider air resistance is the \(\frac{\pi}{4}\) still the angle that produces the max distance? With air resistance, the projectile with of course travel less...
  30. S

    Projectile Trajectory Analysis for a Darts Game

    Homework Statement The question is about the darts game. Bulls eye is at 1.73m height. The Dart (m=25.3g) is thrown from a distance of 1.80m. Dart lands in the middle of the board (bulls eye) under an angle of 4° (to the horizontal line) with landing speed of 12m/sec. Air resistance is to...
  31. Glype11

    Projectile motion involving mass

    If the only variable that is changed is mass. What equation would I use to find the distance an object travels that is shot horizontally at a velocity (v) and I would like to be able to calculate the change in velocity?
  32. S

    Linear Relationship b/w Spring Compression and Projectile Distance?

    I have a question about a spring gun. Suppose the barrel of a spring gun is placed horizontally at the edge of a horizontal table. You put say a marble in the barrel and compress the spring x cm and after releasing the marble it travels a horizontal distance of y cm before hitting the floor (so...
  33. G

    Projectile Motion home work

    Homework Statement A projectile launched straight up at 10 m/s will be in the air for: A) 1 s B) 1.4 s C) 2 s D) 5 s Homework Equations Not sure. The Attempt at a Solution I'm honestly not sure what to make of this problem. Since it's freefall, it sounds like we could...
  34. R

    Why Does Helicopter Velocity Affect Package Drop Time?

    I know how to do most projectile questions, but if just can't seem to get the correct answer for this: 6) A helicopter is ascending vertically with a velocity of 8.0 m/s at a height of 120 m when a package is dropped out of the door. How much time passes before the package hits the ground...
  35. T

    Projectile Motion of a Man Problem

    Homework Statement A man stands on the roof of a building of height 14.1m and throws a rock with a velocity of magnitude 29.3m/s at an angle of 29.9 degrees above the horizontal. You can ignore air resistance. 1) Calculate the maximum height above the roof reached by the rock. 2)...
  36. A

    Projectile Motion man tosses object

    Homework Statement A man tosses object with initial velocity of 20 m/s into a room, and is 2.0 m above the ground. The room is 10.0 m above the ground. In a provided diagram, the distance from man to room horizontally is 31.8 m. I am required to solve for the angle of the object as it...
  37. E

    Soccer ball projectile motion

    Homework Statement A person kicks a soccer ball with an intial velocity directed 53 degrees above the horizontal. The ball lands on a roof 7.2 m high. The wall of the building is 25m away, and it takes the ball 2.1 seconds to pass directly over the wall. Calculate the intial velocity of the...
  38. P

    Motion in Two or Three Dimension : Projectile motion

    Homework Statement A projectile is launched at a 60° angle above the horizontal on level ground. The change in its velocity between launch and just before landing is found to be Δv→ = v→landing _ v→launch = -20 y^ m/s . What is the initial velocity of the Projectile ? What is its final...
  39. C

    Projectile Motion - Range of projectile

    Homework Statement My problem consists of two parts, the first being how far from the top of a cliff will a projectile (fired from a cannon) land with a velocity of 120 ms^-1, fired horizontally from cliff height of 150m. The second part is where I am struggling, the cannon is now aimed 45°...
  40. A

    Projectile Motion- What angle does range equal max height?

    Homework Statement At what projection angle will the range of a projectile equal its maximum height? Homework Equations Big 5 vf2= vi2 + 2ad The Attempt at a Solution So I attempted to solve this question by randomly subbing in equations into each other. If i draw out a diagram to solve...
  41. loops496

    Projectile motion hitting angle

    Homework Statement You're given a cannon that allows you to fix the initial velocity and the shooting angle of a projectile that should be embedded on the side of a mountain l meters away. What is the minimum velocity for you to embed the projectile at an angle of \frac{\pi}{4}? The Attempt...
  42. S

    Projectile Motion Question To Find Unknown Variable (Initial Velocity)

    Hey all! I've tried solving this problem every way I could think of and I wanted to see if I'm doing this even remotely right. Mind helping me out? Homework Statement Problem: A mountain climber is stranded on a ledge 30 m above the ground. Rescuers on the ground want to shoot a projectile to...
  43. M

    Projectile being launched off a table at an angle?

    Homework Statement We did an experiment where we launched a ball off a table at an initial velocity of 1.80 m/s, at an angle of 10 degrees. We measured the distance in the x-axis the ball traveled 0.743 m. Using this information, we are supposed to calculate a predicted value for the distance...
  44. Darth Frodo

    How Do You Calculate the Landing Point of a Projectile Thrown from a Height?

    Homework Statement A stone is thrown with a velocity v_{0} at an angle \alpha to the horizontal (see image) from a step of height H. Calculate the x coordinate x_{1} of the point where the stone hits the ground. Homework Equations x(t) = u_{x}t + x_{0} y(t) = u_{y}t +...
  45. K

    Finding Projectile Motion range at an angle?

    The original problem has very confusing wording without the picture so I reworded it for simplicity: A toy cannon is placed on a ramp on a hill, pointing up the hill. With respect to the x-axis the hill has a slope of angle A and the ramp has a slope of angle B. If the cannonball has a muzzle...
  46. 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...
  47. 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...
  48. 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...
  49. 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...
  50. 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...
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