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. D

    Projectile Motion ball throw help

    Homework Statement A ball is thrown off of a 15m cliff at an angle of 30 degrees above the horizontal and strike the ground 10.4 seconds later. Determine the initial velocity of the ball, the maximum height of the ball, and impact (final) velocity of the ball. Homework Equations vo=vf+at...
  2. S

    When does the mass of object comes into projectile motion equations?

    A 78g basketball is launched at an angle is 52.4 degrees from a distance of 14.7 m from the basket. Ball is released at the same height as basket (10 feet). Acceleration is 9.8 m/s2. What speed will the player need to give the ball? I know that I'm supposed to use the kinematics and trig to...
  3. H

    Solving for Building Height and Time in Horizontal Projectile Motion

    Homework Statement A ball is thrown horizontally from the top of a building and lands 20.0m away from it. If the ball is initially thrown at a velocity of 10.0m/s, how high is the building? How long does it take for the ball to reach the ground? Homework Equations dv = Viv * t + 1/2a *...
  4. F

    Projectile Motion Problem: Finding Distance and Collision between Two Particles

    Homework Statement Points P and Q are in the same horizontal plane at a distance d metres apart. A projectile is shot from P in the vertical plane through PQ towards Q with a speed v m/s at an angle θ. Simultaneously another particle is shot from Q in the same vertical plane towards P with a...
  5. T

    Vertical Projectile Motion, Please Check My Answers

    Homework Statement Homework Equations The Attempt at a Solution 3.1) 5m.s^-1...Not sure about that 3.2) vf^2 = vi^2+2*a*deltax = 1.5^2 + 2(-9.8)*300 = 76.67 m.s^-1 down 3.3) Wnet = Ek (0.392*300) + Wf = 0.5*0.04*(76.7-60)^2...
  6. K

    Projectile motion, throwing a ball at a coconut

    Homework Statement You throw a ball at a coconut on a stand 4.0 m in front of you and 1.0 m above the point at which you release the ball. If you throw the ball at 10.0 m/s, at what angle(s) should you throw it? How long is the ball in the air in each case?Homework Equations ##v=v_o + at \\...
  7. D

    Vector Magnitudes and projectile motion

    Homework Statement A plane traveling at a speed of 1300 km/h in a northernly direction at a height of 5 km above the the ground suddenly climbs at an angle of 45 degrees to to horizon. Maintaining the speed and angle it releases a projectile as it passes through 7 km in altitude. Find the...
  8. V

    Muzzle Vel. Calc: Proj. Problem (vx)

    Your gun's muzzle is at coordinate (0,1.12) meters and Your projectile hit the ground at coordinate (1.03,0) meters Compute muzzle velocity (vx):This is all I'm given to figure out the muzzles velocity, so I know I'm given a height and how much it moved horizontally. But I'm getting confused...
  9. T

    Predicting projectile peak based on vector points

    hey folks, I am making a program that uses object tracking to watch a juggling pattern and plays notes based on the peaks of the balls. I want to predict when/where(x,y) a peak will happen before it does and what i have to work with is when/where(x,y) the ball appears in each frame. I have...
  10. L

    Projectile Motion Diver Jump Question

    A diver springs upward from a board that is 3.60 m above the water. At the instant she contacts the water her speed is 13.1 m/s and her body makes an angle of 67.3 ° with respect to the horizontal surface of the water. Determine her initial velocity, both (a) magnitude and (b) direction...
  11. E

    Projectile Angle Calculation: Finding Optimal Launch Angles for Accurate Hits

    Homework Statement You shoot a cannon at a distant cliff. The cliff is 170m high and 550m away, with the launch speed of the projectile being 110 m/s. Wind resistance is ignored. At what angles, relative to the horizontal, should the projectile be shot to hit the target? Hint: 1/cos2θ =...
  12. B

    Projectile motion with air resistance

    How do we write differential equations for projectile motion in 2 dimensions featuring air resistance of magnitude kv^2, acting directly opposite to the direction of motion at that moment in time, where v is the velocity in the direction of motion at that moment in time?
  13. W

    Find the initial velocity of a projectile

    Homework Statement So it's based off of a track&field long jumper. Calculate the initial speed, v0, of a long-jumper where d=7.87 m. Assume a take-off angle of 21.4°, an initial height of the centre-of-mass of 0.920 m, and a final height of 0.460 m. So I use the range equation for...
  14. A

    Free fall, hit the target, projectile problem

    Homework Statement monkey is a building 79.3 meters tall. as he was free falling, he was shot by a suspect with a dart. which suspect hit the monkey? Suspect a - on a building 65.2 tall, 81meters away from monkey (building to building horizontally), at velocity 55, at angle 10...
  15. P

    Find Angle of Projectile: Golf Ball 50m High & Away

    Homework Statement A golf ball is hit from the ground into a building window 50m high and 50m away from starting point. Find the initial angle. The Attempt at a Solution I will work backwards for this question. I assume that the final y velocity (Vy) is 0m/s. the first equation I do is: Vy^2=...
  16. P

    Projectile Motion Calculation: Finding the Landing Distance of a Launched Object

    Homework Statement A 500kg object is launched from the top of a 12m building with intial speed of 5.2m/s and angle of 38degrees. How far away does object land?Homework Equations y=vit + 1/2at^2 quadratic formula d=vtThe Attempt at a Solution first i separate the initial velocity into its x and...
  17. M

    Projectile Problem: Solving Theta given Delta X, Delta Y and V0.

    Homework Statement It's a projectile problem. Basically, you launch a projectile starting from a height ΔY (0.5 m) at speed V0 at an angle θ. Then after time T, the projectile then hits the ground (0m) and sticks to the ground, traveling distance ΔX. The question goes if you are given ΔX...
  18. F

    Vector Projectile Problem (Calculus III)

    Homework Statement A golfer stands 390 ft (130 yards) horizontally from the hole and 40 feet below the hole. Assuming the ball is hit with an initial speed of 150 ft/s, at what angle should it be hit to land in the hole? Assume the path of the ball lies in a plane Homework Equations Force of...
  19. R

    Initial Speed and Projectile Motion

    Homework Statement So it's a projectile motion problem. I draw a graph showing the parabolic trajectory of the ball, with the start point at the origin. It's final x = 24.8m and final y = 0m Homework Equations We have three constant acceleration equations we use in my course: \vec{v}_{fx}...
  20. A

    Free fall, hit the target, projectile problem

    Homework Statement A monkey is free falling at a building at height 79.3 Meters. At the same time a dude shoots a dart from a building 65.2 meters tall, 81.0 meters away from monkey building, 55 m/s speed, angle at 10 degree. Homework Equations two dimension kinematics The Attempt...
  21. icesalmon

    Projectile motion of a ball thrown

    Homework Statement Julie Throws a ball to her friend sarah. The ball leaves julies hand a distance 1.5m above the ground with an initial speed of 23m/s at an angle of 26° wrt the horizontal. Sarah catches the ball 1.5m above the ground. (a) what is the horizontal component of the balls...
  22. M

    Projectile Blast Containment Calculations

    Hello all. I am working on a assignment in which I have to determine if a projectile traveling at a known velocity will break through a side of its containment room (assuming worst case senerios). I have been looking online and in my textbooks and have ended up confusing myself on what...
  23. D

    Effect of speed on horizontal displacement in projectile motion

    Homework Statement Question: Provided all else is equal, if a ball is thrown at half the original speed will it travel half as far? Homework Equations Δx = vΔt The Attempt at a Solution In projectile motion, the time of flight will be the same no matter the horizontal...
  24. S

    Finding Height With Projectile Motion

    Homework Statement A brick is thrown upward from the top of a building at an angle of 10.1◦ above the horizontal and with an initial speed of 6.74 m/s. The acceleration of gravity is 9.8 m/s^2. If the brick is in flight for 2.5 s, how tall is the building? Answer in units of m...
  25. K

    How to Calculate Javelin Throw Dynamics in Projectile Motion?

    Homework Statement Jill throws a Javelin by first accelerating it from rest through 85 cm and releasing it from a height of 2.2 m at an angle of 35 degrees and it goes a distance of 62 m. A) What are the values of the vertical and horizontal components of initial velocity? B) Find...
  26. S

    How Do You Calculate Bullet Trajectory in Projectile Motion?

    Homework Statement A rifle is aimed horizontally at a target 50m away. The bullet hits the target 2.5cm below the aim point. A) Find the bullets flight time. B)Find the bullets initial velocity upon leaving the barrel. Homework Equations Projectile kinematic equations/ The Attempt at a...
  27. B

    Finding A Vector Position Function For Projectile Motionh

    Homework Statement A cannon shoots a ball at an angle θ above the horizontal ground. Neglecting air resistance use Newton's second law to find the ball's position as a function of time. (Use the axes with x measured horizontally and y vertically.) Let r(t) denote the balls distance from the...
  28. Y

    Question:penetration of penetrator (projectile)

    Dear All, I have a problem and would like to solve it as soon as possible. Please find it below: There is a long rod projectile and a semi-infinite target (1-D solution is fine) Projectile velocity 4000m/s Projectile density 7,5g/cm3 Long rod has a length of 50mm and diameter 5mm...
  29. B

    Projectile Motion (find theta)

    Homework Statement The speed of a projectile when it reaches its maximum height is 0.31 times its speed when it is at half its maximum height. What is the initial projection angle of the projectile? Homework Equations h=(Vi^2 * sin^2 θ) / 2g R=(Vi^2 * sin2θ) / g The Attempt at a Solution...
  30. O

    Confused about projectile motion

    I don't get how you would attempt problems with 'tilted' projectile motion. So basically here's a situation: You are standing on top of a building, and throw a ball down the hill (hill is linear). Find where it lands Since you are standing on top a building, you have a Δy component...
  31. MarkFL

    MHB Molly's question at Yahoo Answers regarding projectile motion

    Here is the question: I have posted a link there to this topic so the OP can see my work.
  32. G

    Projectile motion with air resistance

    Without air resistance, bodies travel in a parabola. What is the curve that is traveled when air resistance is included? I found that there are different air resistances, which curves would these types produce?
  33. N

    Shooting Rifles from Platforms - Projectile question

    Homework Statement Hi all! What a great site, thanks in advance for any help! My question is written: The six figures below show rifles that are being fired horizontally, i.e. straight out, off platforms. The bullets fired from the rifles are all identical, but the rifles propel the bullets at...
  34. K

    Projectile Questions: Solving Max Height & Xmax

    Homework Statement We did an experiment where we threw a tennis ball far and high. For the far toss: initial height=1.3m time it took to land=1.92sec distance traveled=23.4m For the high toss: initial height=1.37m time it took to land=2.61sec distance traveled=9.5m Now I have...
  35. M

    How Do You Calculate Projectile Motion for a Cannonball?

    Homework Statement A cannon has a launch speed of 500m/s and is aimed at a target 2.8km away. a. Write an equation for the maximum horizontal range of the cannon as a function of the launch angle theta. b. At what angle must the cannon be launched in order to hit the target? c. As viewed...
  36. S

    Kinematics: Projectile Motion, Constant Acceleration

    Please help. I think I may be over thinking this problem because it looks very simple. Homework Statement Determine the minimum initial velocity, v0, and corresponding angle, θ0 needed to kick the ball just over the 3m high fence. x = 6m y = 3m Homework Equations X: vx=v0x x = x0+v0xt v0x...
  37. QuantumCurt

    Projectile motion, find speed/time of football kick

    Homework Statement A football punter kicks the football at a 30.0 degree angle above the horizontal and just scores a field goal 40.0 meters away, where the horizontal bar is 3.50 meters above the ground. a. How long is the ball in the air before the goal is scored? b. What was the...
  38. M

    Projectile Motion Questions: Solving for Height, Velocity, and Time

    Homework Statement The information required is in this picture: http://i.imgur.com/Dt7F9pg.png There are four questions based on what is in the picture. The questions are: 1) Calculate how high above the ground the floor of the basket is before the can falls out of the basket. 2)...
  39. Alelin

    MHB Projectile Motion Lab: Solving Equations with Newton's Law and Experimental Data

    Hi there I need help with my lab to solve motion equations using Newtons law Basically I did my experiment based in projectile motion, one of the trial give me 88cm out of the ramp, like distance traveled, then the total horizontal length of the ramp was 111.5cm and the height 40cm, also the...
  40. I

    Volleyball Problem involving Projectile Motion

    Homework Statement A regulation volleyball court is L = 18.0 m long and a regulation volleyball net is d = 2.43 m high. A volleyball player strikes the ball a height h = 1.73 m directly above the back line, and the ball's initial velocity makes an angle theta = 40 degrees with respect to the...
  41. S

    Projectile motion car tires question

    Hi guys, I am really stuck with this homework question... The answer is 14.5 m/s but I do not know how to calculate it. A car has run into a fire hydrant and come to an abrupt stop. A suitcase tied to a rack on top of the car has been thrown off and has landed on the roadside 11.6 m away from...
  42. D

    Projectile motion while playing catch

    Homework Statement You are playing catch with a friend in the hallway of your dormitory. The distance from the floor to the ceiling is D, and you throw the ball with an initial speed v0=√(6gD). What is the maximum horizontal distance (in terms of D) that the ball can travel without bouncing...
  43. P

    Projectile Motion w/o Horizontal Givens

    Homework Statement A soccer player kicks a rock horizontally off a 40.0m-high cliff into a pool of water. If the player hear the sound of the splash 3.00s later, what was the initial speed given to the rock? Assume the speed of sound in air to be 343 m/s. I wrote down givens in the...
  44. P

    Projectile Motion without Initial Velocity

    Projectile Motion without Initial Velocity (Only time and angle given) Homework Statement A projectile is launched at an angle of 50° above the horizontal and it hits the ground in 12 seconds. a. Calculate the maximum height of the projectile. b. Find the range of the projectile...
  45. S

    General Basic Projectile Motion Question

    In projectile motion problems, where an object is thrown (not horizontally) off of a cliff, does only the cliff's height matter to this equation: y = v_y * (t) + (a * t^2)/2 What I'm confused about is the little bit of height gained by the object when it is first thrown off of the cliff...
  46. A

    Projectile motion of car driving off a cliff

    The question is - A 1200kg car drives off a cliff with a horizontal velocity of 30m/s and an upward vertical velocity of 15m/s. a) Neglecting air resistance, what is its horizontal and vertical velocity after 1s? b) What is the maximum height above the ramp the car reaches? I used - v =...
  47. M

    Projectile Motion: velocity and speed

    I came across this one problem that asked for speed and velocity and I was wondering what the speed is suppose to be. I read somewhere that its the magnitude to velocity. So I want to see if I am doing this right. A ball is launched off the top of a building. The initial velocity of the ball...
  48. K

    Air Resistance and Projectile Motion Assignment Task

    1. Hi, I'm currently in my second last year of high school (Australia) and my Physics assessment task is all about cars, however, a stimulus Item is the Movie Speed, long story short, I need to find the minimum angle required, including air resistance at a velocity of 30 m/s. 2. I have tried...
  49. P

    Projectile Motion: Formula for range for a given angle

    I was watching a YouTube video on projectile motion: It says that the range is given by the formula: d = v*cosθ*t It also says that the time to reach the maximum height is given by the formula: t = \frac{v*sinθ}{a} where v*sinθ is the initial vertical velocity Well, not...
  50. P

    Affect of air resistance on a projectile

    Ok, so I have calculated an ideal speed of a projectile, but now I would like to know how it is affected by air resistance, although I'm only interested in the air resistance when it's outside the barrel, hopefully that'll simplify it a bit. So the formula is: FD = \frac{1}{2}CDρAv2 Can I...
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