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. F

    Calculating force from distance traveled and initial speed of projectile

    Homework Statement Estimate the average force exerted by a shot-putter on a 7.0-kg shot if the shot is moved through a distance of 3.0m and is released with a speed of 10m/s . Homework Equations F=ma Maybe the Five Equations for constant acceleration? The Attempt at a Solution So my guess is...
  2. C

    Finding the angle of the velocity vector of a projectile at moment of impact

    Homework Statement A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 16.0 m/s. The cliff is h= 41.0 m above a flat horizontal beach h=41 g=10m/s vi=0m/s vf2=vi2+2gh vi=28.64 h=vi+vf/2xt 41=28.64/2xt 14.32 t=2.86 28.64x28.64, 16x16 Square...
  3. A

    Projectile motion-range calculation

    1. the surface of a hill is inclined at α to horizontal,a stone is thrown from the top of the hill at initial speed u at angle β with vertical line. How far from the top will the stone strike the ground? 2. R=(u^2 sin2θ)\g or by rotational co ordinate geometry3. can't prove that the dist...
  4. 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...
  5. L

    Distance Traveled by a Fired Projectile

    Hey everyone! I'm new to this site, but I figured I might as well start it off with a bang and go straight into the nitty-gritty. This is a problem from the homework assignment I've been given for tonight, and although I can sort of see that it can be solved, the right series of equations to...
  6. M

    How Tall Is the Building If a Brick Is Thrown Upward?

    Homework Statement A brick is thrown upward from the top of a building at an angle of 23.8 degrees above the horizontal and with an initial speed of a 14.2 m/s. Acceleration of gravity is 9.8 m/s/s. If the brick is in flight for 3.3 s how tall is the building? Homework Equations...
  7. D

    Solving for maximum angle theta so that the distance of a projectile fired is constantly increasingn

    Homework Statement "What is the maximum angle above the horizontal with which a projectile can be fired so that its distance from its point of firing (on earth) is always increasing?" [/B]Homework Equations r^2=t^2 v^2 Cos[x]^2 + (-4.905 t^2 + t v Sin[x])^2 The Attempt at a Solution I have...
  8. Calpalned

    Best angle to shoot a projectile

    Homework Statement A projectile is fired with speed v_0 (velocity subscript zero) at an angle θ from the horizontal as shown in the figure Consider your advice to an artillery officer who has the following problem. From his current position, he must shoot over a hill of height H at a target...
  9. 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...
  10. 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...
  11. 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
  12. 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...
  13. ahoback

    Aaron's Gravitational Potential Energy to Launch Projectile Science Competition

    Hello my name is Aaron! I am a high school senior from northeastern Kentucky designing a pneumatic system of sorts for a science competition and need some help. I will be building a device that converts gravitational potential energy, from a falling mass, into air pressure (or possibly the...
  14. 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...
  15. 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...
  16. 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...
  17. B

    Finding the optimal launch for a projectile?

    Suppose I wanted to launch a water balloon off a cliff of a known height of H and known initial Velocity of Vo, where we can neglect air resistance. Using Newton's Second Law and differentiating it, how can i derive an equation for maximum distance traveled (xmax) at an angle theta? Then from...
  18. 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...
  19. Satvik Pandey

    Angular momentum of projectile.

    Homework Statement Find out the angular momentum of particle as it reaches the highest point about the origin in projectile? m=1 kg angle(i)=60 degree(with horizontal) u=10 m/s g=10Homework Equations The Attempt at a Solution As angular momentum=##mrvsinB ## Here velocity at top=##ucos\theta...
  20. 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...
  21. 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...
  22. HTT

    Projectile Motion: Homework Help for Max Height & Time in Air

    Homework Statement A model rocket has an acc of 5m/s/s while its fuel is buring. Its fuel lasts for 10 sec. ignore the air resistance.Homework Equations a) max height above the ground of this rocket? b) the time this rocket in the air before it hits the ground? The Attempt at a Solution...
  23. V

    MHB Area under the curve of a projectile

    I am trying to calculate the area under the curve of a projectile for a school project. A simple way to do this is to integrate the following equation of the trajectory: However I've tried to use another method. Since we have the two equations for the horizontal and vertical displacements...
  24. AdoobII

    Projectile question -- ball rolling on a chair

    Homework Statement Hi all, in my grade 11 book there is a question, and the question is :- there is a ball rolling on a chair by a speed of 5.0 m/s on the X axis, the ball hit the ground on a distance of 0.25 m on the X axis, What is the Δy and what is the speed on Y axis ϑx (speed on X axis)...
  25. B

    Projectile Motion of a Baseball at Bat

    Homework Statement At bat a baseball player hits a ball at a height of .889 m. The ball leaves the bat at 51 m/s at an angle of 81 degrees from the vertical. The ball skims the top of a 2.74 m wall as it leaves the field. a.) Draw position, velocity and acceleration graphs describing the ball...
  26. 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...
  27. C

    A projectile kinematic in 2 d problem using baskeballs?

    Homework Statement A basketball leaves a player's hands at a height of 2.20m above the floor. The basket is 3.05m above the floor. The player likes to shoot the ball at a 35.0∘ angle.If the shot is made from a horizontal distance of 5.90m and must be accurate to ±0.22m (horizontally), what...
  28. 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...
  29. 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...
  30. 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...
  31. 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...
  32. F

    Differential equation for projectile

    I want to model a Differential Equation for a projectile motion under 2 forces (gravity and wind) So, what I have now is an algorithm that simulate the parametric motion (2d) of the project under those 2 forces (given a P position of the projectile with velocity V under a vector of forces F (or...
  33. Y

    Projectile Subject to Quadratic Air Resistance

    Homework Statement A projectile that is subject to quadratic air resistance is thrown vertically up with initial speed v0. (a): Write down the equation of motion for the upward motion and solve it to give v as a function of t. (b): Show that the time to reach th top of the trajectory...
  34. C

    Need help with trajectory projectile game

    Hey all, so I saw a new game and it works like this I haven't found a formula for it yet because I don't know how to read one correctly yet. So I'm asking if anyone would know a easy way to get that aim perfect like a fellow member has done (Cheatyface) If you want to know the game...
  35. 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...
  36. HP007

    Trajectory of projectile with considerable drag

    Facing some horrible mathematical situation while solving to find equation of trajectory of projectile when drag is proportional to v^2. my equations where i end up with are as follow: equation 1: mdv/dt=(-kv^2)+(-mgsinγ); equation 2: (-mv)dγ/dt=mgcosγ; equation 3: dx/dt=vcosγ; equation...
  37. 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...
  38. C

    How to find the initial velocity of a projectile, knowing only these?

    Hi all, I have been given a projectile motion problem, where a ball is launched from a catapult. The range, maximum height and the launching angle is known. The range is 2.32m, the max. height is 1.26m and the launching angle is 35° from the horizontal. The projectile flight goes for 1.125...
  39. S

    What is Projectile Kinetic Energy?

    Homework Statement SolvedHomework EquationsThe Attempt at a Solution Solved
  40. 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...
  41. 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...
  42. 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.
  43. B

    Does Launch Angle Affect Speed at Impact with Air Resistance?

    Dear physics forum, If an object is launched from a water slide with an angle theta, would the angle of launch affect the speed of the object right before contact with the landing pool, with air resistance considered? Thanks.
  44. B

    Water Slide Projectile Experiments: Launch Angle vs Distance

    Hello guys. I was wondering about slides in a water a park and how they calculate the landing distance to predict where a person who land in order to keep them safe by landing them in the water of course... and also at an appropriate speed. So I want to do an experiment on this by making a...
  45. F

    Distance traveled by projectile in Free Fall

    Homework Statement An object falls from rest off a building, with a constant acceleration of 9.8 m/sec^2. The object travels half the building in its last 1 secs of its fall before hitting the ground. What is the height of the building? v_0 = 0 a = 9.8 Homework Equations x = x_0 + v_0 t +...
  46. 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...
  47. 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...
  48. Satvik Pandey

    How Can You Calculate the Distance AB in This Projectile and Wedge Problem?

    Homework Statement A wedge of mass m and angle θ is placed on a smooth ground. As shown in the diagram A is a point on ground. A particle also having mass m is dropped from a height h at a horizontal distance x from A . It finally touches the ground at point B . Find √3AB in metres. Details...
  49. skulliam4

    Weight of Horizontal Projectile

    Hi, I am 12 years old and sort of a noob to physics due to, well, me being in the 8th grade. I need to find the weight of this spherical projectile given just about every other factor, I know the Angle in which it was fired (32.2°), the gravity of the planet this takes place on (12m/s2), the...
  50. 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...
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