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. C

    Projectile Motion ball is thrown upward

    Homework Statement A ball is thrown upward at an angle of 30° to the horizontal and lands on the top edge of a building that is 20 m away. The top edge is 5.0 m above the throwing point. How fast was the ball thrown? Homework Equations xcos30 ysin30 The Attempt at a Solution Im not sure what...
  2. T

    Help: Projectile Motion with Forces Problem -- Lunar Lander

    1. I have a physics problem that I am having trouble understanding. Here it is: Your lunar lander (with fuel and crew) has a mass of 14,700 kg. It is initially in a circular orbit around the Moon (i.e. Viy = 0 m/s) at an altitude of 30 km above the lunar surface. To land on the Moon, you...
  3. N

    Help with projectile motion, finding x

    Homework Statement A balloon is attached to a 3m high pole. On the ground is a mortar that fires at a velocity of 7m/s at an angle of 55degrees. How far away does the mortar have to be to hit the balloon? Homework Equations y=tan(theta)x-g/(2v0cos2(theta)x2[/B]The Attempt at a Solution I...
  4. J

    Projectile Motion Neglecting air resistance

    Homework Statement Neglecting air resistance, if you throw a ball straight up with a speed of 20 m/s, how far will it be moving when you catch it? Homework Equations None The Attempt at a Solution
  5. T

    How Do You Calculate Cannonball Trajectory from a Cliff?

    Homework Statement A 2.5kg cannonball is fired from the top of a 75m cliff at an angle of 30 degrees above the horizontal with an initial speed of 120m/s. Homework Equations What is the minimum speed of the cannonball? When does the cannonball hit the ground? What is it's speed just before it...
  6. T

    Understanding Projectile Motion: A Grade 11 Student's Perspective

    Hello I am currently a grade 11 student taking a 11U Physics course and we are nearly done our Kinematics unit and are finishing up Projectile motion. When i asked my teacher to explain the concept behind Projectile motion, i understood what a projectile is and what causes it (the force of...
  7. P

    Projectile Motion skateboarder

    Homework Statement A skateboarder shoots off a ramp with a velocity of 5.30 m/s, directed at an angle of 52.0° above the horizontal. The end of the ramp is 1.40 m above the ground. Let the x-axis be parallel to the ground, the +y direction be vertically upward, and take as the origin the point...
  8. B

    How to find the muzzle velocity of a launcher?

    I'm currently working a lab that requires me to find the muzzle velocity (initial velocity) of my launcher. The only information I have is the launch angle, horizontal distance, maximum height and time. Is there a specific equation that I have to use? Should I be using trig equations with...
  9. D

    Programming a Projectile Motion Question

    Hello all! I'm trying to program a projectile motion question and I'm having some trouble with the physics that's involved. The program allows you to input the starting height, initial velocity, launch angle and the distance to a wall (also a window on the wall, but that isn't important for...
  10. P

    Projectile Motion Problem Solving with Equations and Help from Experts

    Hi, I am having problems solving the last problem(see attached files), i have derived these equations which i thought should would help me solve the problem but i seem to be stuck. U=(H3-H4)/(d4-D4) Height at t h and H3 are the same so i set H(initial)=0 -0,5gt^2+vsin(θ)t=-u*3*cos(θ)vt...
  11. P

    Projectile Motion, only given horizontal distance

    Homework Statement The longest pass in history is 85.8m. Ignoring any air resistance effects, calculate the initial speed of football.Homework Equations Vx=Vo cosΘ x=VcosΘt Vy=VosinΘ -gt y= VosinΘt - 0.5gt^2 The Attempt at a Solution I really don't know what to do here. I've looked through all...
  12. Y

    Projectile Motion with initial velocity

    Homework Statement A projectile with initial velocity u making an angle A with the horizontal. Find the time t when the velocity of the projectile becomes perpendicular to its original velocity.Homework Equations v = u + at s = ut + 1/2at^2 v^2 - u^2 = 2as[/B] The Attempt at a Solution I have...
  13. C

    How Do You Calculate the Initial Velocity of a Juggling Ball?

    You are practicing your juggling skills by throwing a single juggling ball back and forth between level hands. The distance between your hands is 40 cm. Between catches, the ball is in the air 0.85 s. Calculate the magnitude and direction of initial velocity of the juggling ball each time you...
  14. S

    Projectile Motion: Angle of Impact

    Homework Statement A ball is thrown from a bridge 200 m high with an initial velocity of 34.4 m/s at an angle of 54° above the horizontal. Homework Equations I'm not sure... arctan Vx/Vy = x? I really don't know. The Attempt at a Solution (a) How high above the throwing height does...
  15. N

    Projectile motion submarine missle problem

    Homework Statement A submarine-launched missile has a range of 4330 km. (a) What launch speed is needed for this range when the launch angle is 45°? (b) What is the total flight time? (c) What would be the minimum launch speed at a 22° launch angle, used to "depress" the...
  16. K

    Projectile Motion find the highest angle

    Homework Statement http://postimg.org/image/7yfw1zpq1/ http://postimg.org/image/7yfw1zpq1/ <-Question The Attempt at a Solution I don't really understand the question but ill try. I need to first find the highest angle at which the projectile will clear the peak. At Peak: Sy...
  17. L

    Projectile motion with drag trouble

    Basically..I have a canon that shoots a pingpong ball at 30m/s from any angle between 0-90 I've derived all my equations as can be seen below: So the velocity equations are: Vx(t) = (Vxo)e^(-kt/m) Vy(t) = (Vyo+gm/k)e^(-kt/m) − gm/k Integrate these to get X and Y as functions of...
  18. F

    Projectile Motion (Ball thrown towards a wall)

    Homework Statement In the figure, you throw a ball toward a wall at speed 34.0 m/s and at angle θ0 = 38.0˚ above the horizontal. The wall is distance d = 20.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and...
  19. P

    Projectile motion - bullet shot from a rifle

    Homework Statement At the instant a horizontally held rifle is fired over a level range, a bullet held at the side of the rifle is released and drops to the ground. Which bullet, the one fired downrange or the one dropped from rest, strikes the ground first? Homework Equations None The...
  20. A

    Is this a valid formula for calculating the displacement of a 2D projectile?

    Is this a correct derivation of a relation between displacement of a particle with its terminal launch angle, velocity, and environmental gravity? Let the velocity of the projectile be denoted V_n. Let the terminal side of the launch angle with respect to the ground be denoted \theta. The...
  21. T

    Projectile Motion Collision Problem

    Homework Statement A particle P is projected from the origin with initial speed 5 m/s and projection angle theta. At time t = 0, when P is at the origin, another particle Q begins to move on the (horizontal) x-axis with initial speed 15/4 m/s and constant acceleration a = 3g/4 m/s^2...
  22. C

    Derive from projectile motion equation

    Homework Statement Derive: R=v^2sin2theta/g Show that R=V0^2/g Homework Equations The Attempt at a Solution This is my first time to take up physics so I have no idea at all on how to do this, to be honest.
  23. matineesuxxx

    Projectile motion with air resistance

    Homework Statement Model the trajectory of a projectile with an initial velocity v_0 that is subject to the force of drag.Homework Equations F_{\text{d}} = \frac{1}{2}C_{\text{d}}\rho\text{A}(v(t))^2 v_x(t) = v_{0x} + \int_{t_0}^t a_x(t')\mathrm{d}t' The Attempt at a Solution I really...
  24. V

    Projectile Motion Problem: Finding Maximum Height and Acceleration Vector

    Homework Statement Homework Equations The Attempt at a Solution Maximum height attained by first projectile H = u2sin2θ/2g = 15m If acceleration vector is assumed a = axi+ayj , then at H √(ax2+ay2) = 50 . Now I need to use the given conditions to come up with another...
  25. D

    Projectile Motion Challenge Problem

    Mr. Smith’s dog Rosie takes a flying leap off his bed. The bed is 1m high, and Rosie leaves with a muzzle velocity of 5 m/s [40° above the horizontal]. Sometime after Rosie leaves the bed, Mr. Smith (who is 5m away from the bed) throws a doggie treat to Rosie from ground level with a muzzle...
  26. A

    Dynamics: Normal and Tangential projectile motion problem

    Homework Statement A canon fires a projectile at a speed of 100 m/s at angle of 20 degrees. (a) what is the radius of curvature of the projectile at its highest altitude? (b) What is the radius of curvature of the path .5 seconds after firing? Homework Equations Velocity vector = s'ur...
  27. 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...
  28. 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...
  29. 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
  30. 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...
  31. 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...
  32. 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...
  33. 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...
  34. 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...
  35. 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...
  36. 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...
  37. 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...
  38. 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..
  39. 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...
  40. 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...
  41. 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?
  42. G

    How Long Does a Projectile Stay in Air When Launched Vertically at 10 m/s?

    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...
  43. 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)...
  44. 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...
  45. E

    How Do You Calculate the Initial Velocity and Range of a Soccer Ball?

    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...
  46. 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...
  47. 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°...
  48. 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...
  49. 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...
  50. 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...
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