Trajectory Definition and 446 Threads

  1. V

    Trajectory question(find spped of impact)

    A golfer drives a ball with initial angle θ = 45 from a tee at the origin. The ball hits a window at height h = 10m a distance D = 80m away. a. Find the initial launch speed v0 of the ball. b. Suppose a second golfer tees off from the same spot at an unknown angle and speed, and...
  2. A

    Is the trajectory of a ball with friction calculable?

    I have written a simulation for school that simulates balls being thrown under the influence of friction. To check if my results are correct, do you know if it is possible to calculate the trajectory? I can use the friction formulas of either stokes or Newton. Is it possible to calculate...
  3. S

    Calculating the highest point of a trajectory

    1. A soccer ball is kicked with an initial actual velocity of 20 ms at an angle of 20 degrees with the horizontal. Find the vertical distance from ground to highest point.
  4. S

    Solving Trajectory Problem with 2 Variables (V,A)

    Homework Statement I was attempting to finish a group project when I noticed certain elements lacking in it. I am attempting to graph the below equation but I can't get it to work. It has two variables, V(Velocity) and A(time in this case). So I am trying to figure out how I can graph this...
  5. A

    Finding the Optimal Flight Path to the Origin: A Vector Addition Problem

    Homework Statement A pilot attempts to y with constant speed v from the point P = (D; 0) on the x-axis to the origin O = (0; 0). A wind blows with speed w in the positive y direction. The pilot is not familiar with vector addition and thinks the shortest path to O is achieved by ying his...
  6. T

    Bullet trajectory; solving for required angle of elevation

    Homework Statement Bob is trying to hit a stationary target 146.00m downrange, his eyes are 1.8m above the ground, firing from a standing position. The muzzle velocity of the projectile is 382.524m/sec (1255 ft/sec), wind is negligible; at what firing angle must he fire to successfully hit the...
  7. S

    Calculating Projectile Trajectory Without Air Resistance

    Greetings, Before I begin my problem, I would like to confess that I understand almost nothing about physics. My math is limited to what I am doing in class right now as a ninth grader ( I understand quadratics...). I am doing a research project, and I need some help. Homework Statement...
  8. R

    Plot 2D Trajectory: Solve Initial Velocity & Coordinates

    I'm trying to plot out the trajectory of an object in a program that is looping through the function and spitting out the x and y coordinates, but I'm having trouble. I want to see a parabola starting at 0,0 going up and ending again at x,0. Basic question: (units aren't critical here f/s m/s...
  9. M

    Understanding Hyperbolic & Parabolic Trajectories

    Hi, I'm trying to wrap my head around the different kinds of trajectories. Firstly, what kind of objects have hyperbolic trajectories? And how do we differentiate between a parabolic trajectory and a hyperbolic one? Thank you for any help. Maria
  10. D

    Angle of a trajectory required to make it go a specified distance?

    Here is the problem at hand: A gun has a muzzle speed of 100 meters per second. What angle of elevation should be used to hit an object 180 meters away? Neglect air resistance and use g = 9.8 m / sec^2 as the acceleration of gravity. I attempted to solve this by calculating the time...
  11. K

    Trajectory of a particle in a field (special relativity)

    Hi, I'm new on this forum and I would like to say hello to everybody! I have a problem with homework from my "Basics of theoretical phisics" class. Homework Statement I have to find a trajectory of a particle in field of force: F = - \frac{\alpha}{x^2} Homework Equations I was...
  12. B

    Trajectory of charged particle moving in a magnetic field

    In this video here are those pink green the magnetic field lines? If so where does the proton come from? If I'm not mistaken a charged particle in motion will only be influenced by the magnetic field if its not moving parallel to the magnetic field lines but in this video the proton appears to...
  13. I

    Mastering 3D Trajectory for FPS Game Designers

    Hello, I am designing a FPS in which I am planning for the trajectory of a bullet to follow this formula here: http://en.wikipedia.org/wiki/Trajectory#Derivation_of_the_equation_of_motion" I am not adding any drag or resistance a the moment, but the problem is, that all these trajectory...
  14. I

    Calculating Position on a Trajectory - Derivation of Equation of Motion

    I have never taken any physics course before, but I am designing a game in which the projectile(bullet) is going to drop over time. I want to know which equation do I use to calculate the position on a trajectory. Given that I have the angle, and initial velocity...
  15. A

    Spinning ball bounces off ground, following curved trajectory

    Homework Statement You have a solid, homogenous ball with radius R. Before falling to the floor, its center of mass is at rest, but it is spinning with angular velocity \omega_0 about a horizontal axis through its center. The lowest point of the ball is at a height h above the floor. When...
  16. B

    Projectile Trajectory (I'm confused about the lab report)

    The experiment was to measure muzzle velocity of a ball fired by a 'spring gun'. Then to use the equations of projectile motion in order to determine the projectile trajectory. During the experiment we used a variable-height platform to stop the ball mid-air (at y = 0.4 m & y = 0.1 m). Now we're...
  17. J

    What are the equations for trajectory in an E-field?

    Homework Statement Hello, I have a physics exam on friday. My teacher said one of the questions would be on the TRAJECTORY (of an electron) IN AN E-FIELD. he told us to remember than tanß = sinß / cosß we haven't used tan, sin or cos during class work. I was hoping someone could give me a...
  18. R

    Parabolic Projectile Trajectory

    Hi, Im currently working on a video game, and have come to an aspect that I'm very unsure about (I'm self taught in most of my game physics knowledge, so there are quite a few gaps). Let's say there is an environment with no features that act on objects except for gravity (or simply no wind...
  19. X

    Calculating angle for trajectory with exit position not at 0,0

    I'd like to calculate the angle to shoot a projectile from a cannon in order to hit a target. However, the position that the projectile will be exiting from will not be at 0, 0 -- it will vary according to the angle of the cannon itself. The projectile will be exiting from the tip of the cannon...
  20. R

    Definitoon of trajectory in quantum physics, especially in path integrals

    What is the correct way to use the term trajectory in physics when discussin path integral forumaltion calculations. Here is the sentence i am trying to complete and am unsure if i may use the term trajectory: So the wavefunction offers a much more simplistic and perhaps more beautiful way to...
  21. E

    Finding Constants in Relativistic Trajectory Problem

    Homework Statement Given that the trajectory in frame S is: x=\frac{c^2}{a}(\sqrt{1+\frac{a^2t^2}{c^2}}-1) Show that in S' that is moving in the +x direction at speed u: x'=\frac{c^2}{a}\sqrt{1+\frac{a^2(t'-A)^2}{c^2}}-B Find the constants A and B. Homework Equations Lorentz...
  22. I

    One question about Parabolic and Hyperbolic trajectory.

    In the Parabolic and Hyperbolic trajectory.Is the sun in the focus point of parabola and hyperbola?
  23. I

    Orbital energy of ellipse and hyperbolic trajectory

    Please tell me how to find the orbital energy of ellipse and hyperbolic trajectory. Thank you.
  24. L

    The Physics of Golf: How Trajectory, Spin & Velocity Affect Shots

    What physics are involved in golf
  25. P

    Parametrize trajectory of a hocjey puck

    Homework Statement A hockey puck of radius 1 slides along the ice at a speed 10 in the direction of the vector (1,1). As it slides, it spins in a counterclockwise direction at 2 revolutions per unit time. At time t = 0, the puck’s center is at the origin (0,0). Find the parametric equations...
  26. P

    Parametric equations for trajectory

    Homework Statement A jet takes off from (1, 1, 0) at time t = 0 and moves with constant speed v = (−5, 0, 1). In a flight simulator, the trajectory of the jet is displayed in the yz-plane as it would appear to an observer at the point (1, 0, 0). Find the formula (in the form y = y(t), z =...
  27. F

    Highest point on trajectory of tennis ball

    Homework Statement A tennis ball is thrown toward a vertical wall with a speed of 21.0 m/s at an angle of 40.0 degrees above the horizontal. The horizontal distance between the wall and the point where the tennis ball is released is 23.0 m. a. At what height above the point of release does...
  28. R

    What Is the Launch Angle of a Ball Thrown Against a Wall?

    Homework Statement A ball is thrown with initial velocity 20m/sec against a wall 50 meters away. It is released from a height of 1.8 meters, and hits the wall at 1.2 meters. Find the angle of the throw. Homework Equations 50=20t*cos(theta) -.6=20t*sin(theta)-.5(9.8)(t^2) The...
  29. L

    What is the path of a particle on an inclined plane with a string attached?

    Respected experts, I am in need of your help. Here goes the question: "A particle is placed on a rough plane inclined at an angle theta, where tan θ = μ = coefficient of friction(both static an dynamic). A string attached to the particle passes through a small hole in the plane. The string is...
  30. K

    Argument with professor: how can you describe the trajectory of a particle?

    I had a physics test last week. When I got the results, there were some correction mistakes in my opinion, so now it's being revised. I had a small disagreement with my professor over one of the theoric exercises, and tomorrow i'll probably be having the same argument again, so I thought of...
  31. G

    Trajectory and Force Problem: shot putter launch

    Homework Statement A shot putter launches a 7.22 kg shot by pushing it along a straight line of length 1.84 m and at an angle of 33.0° from the horizontal, accelerating the shot to the launch speed from its initial speed of 2.3 m/s (which is due to the athlete's preliminary motion). The shot...
  32. CFDFEAGURU

    New Calculated Trajectory for the Apophis asteroid

    Hello all, This NASA press release indicated that there is less likely hood of an encounter with the Apophis asteroid in 2036. http://www.nasa.gov/home/hqnews/2009/oct/HQ_09-232_Apophis_Update.html Thanks Matt
  33. P

    Solving Trajectory Problem: Initial Speed, Time, & Height

    Homework Statement A college regulation goal post has a horizontal ball at a height of 3.048 m from the ground. A kicker attempts a field goal at a distance of 30 m from the goal posts. The initial speed of the ball is 19 m/s making an angle of 40 degrees above the horizontal. The plane of...
  34. R

    Trajectory of a squirt of water to hit a fly

    Paradoxical Algebra: Trajectory of a squirt of water to hit a fly Can ANYONE explain to me why 3 perfectly algebraically sound procedures all give me a different answer, where only one gives me the correct answer? Also, can you disprove the 2 wrong procedures (IE: As I said before, tell me why...
  35. R

    Trajectory of a Baseball: Will it Clear the Fence?

    Now I'm seriously just tired and can't get these, but I don't know why this is wrong at all. This would help if I had a study partner in my physics class (to bounce ideas off of), but no one else in my class is overly strong in the subject. Homework Statement A batter hits a pitched ball...
  36. D

    Finding Speed and Angle of Projectile Trajectory

    Homework Statement A diver leaves a 3m board on a trajectory that takes her 3.0m above the board, and then into the water a horizontal distance of 3.0m from the end of the board. At what speed and angle did she leave the board? Homework Equations Vf^2=Vi^2 + 2ad Y=Y0 +VyT - 0.5gt^2...
  37. M

    Finding the Orthogonal Trajectory for a Family of Curves

    Homework Statement i want to get the orthogonal trajectory of the curves of this family x^2 + y^2=cx Homework Equations answer is given as : y^2 + x^2=cy The Attempt at a Solution 2x + 2yy' = \frac {x^2 +y^2} {x} then y' = \frac{y} {2x} - \frac{x}{y} let v=y/x ...
  38. E

    How Far Does an Object Travel on a 4m Diameter Circle with a 45 Degree Shift?

    Homework Statement An object travels in a circular trajectory that has a diameter of 4m. From start to finish the change in the angle of movement is 45 degrees. How far has the object travelled? Homework Equations Circumference formula The Attempt at a Solution I started by...
  39. P

    Trajectory of Mud Glob Thrown From Wheel: Solving the Mystery

    Homework Statement A wheel of radius r is rolling along a muddy road with speed v, and particles of mud are being continuously thrown off from all points of the wheel. ignoring air resistance, what is the trajectory of a mud glob thrown off the wheel when it is at angle (theta) to the...
  40. R

    Question on trajectory of a particle attached to a string on a inclined plane

    Homework Statement A particle is placed on a rough plane inclined at an angle theta, where tan θ = μ = coefficient of friction(both static an dynamic). A string attached to the particle passes through a small hole in the plane. The string is pulled so slowly that you may consider the particle...
  41. K

    Trajectory of a projectile from a cliff

    Homework Statement A projectile is shot from the edge of a cliff 115 m above ground level with an initial speed of 65.0 m/s at an angle of 35.0 degrees with the horizontal. A. Determine the time taken by the projectile to hit point P at ground level. B. Determine the distance X of point P...
  42. S

    Projectile trajectory (True/False)

    Homework Statement The figure represents the trajectory of a projectile going from A to F. Air resistance is negligible. http://bcs.whfreeman.com/WebPub/Physics/tiplerphysics6e_bridge/question_bank_images/3-24.png?81 Homework EquationsFor all the following sentences choose True or False: 1...
  43. J

    Mechanical Energy and Trajectory

    Homework Statement I am having difficulty with the concept of a certain question from my textbook that goes as follows: Your friend's Frisbee has become stuck 16 meters above the ground in a tree. You want to dislodge the Frisbee by throwing a rock at it. The Frisbee is stuck pretty tight...
  44. F

    Analysis of Curve Trajectory - Is It Correct?

    I want to know whether this analysis in the image is correct or no ,and if no pleas I want u to explain me the reason thank you ..
  45. M

    Did You See the Mason Dixon Meteor Streak Across Maryland and Pennsylvania?

    You might have heard about this story, it was on slashdot.org last week. On July 6th 2009 at 1:04 AM a fireball streaked across northern Maryland and Southern Pennsylvania. Hundreds of eye witnesses reported the meteor causing a sonic boom and shaking houses. Amateur astronomer Mike Hankey in...
  46. P

    Velocity as a function of radial distance on an elliptical trajectory

    Homework Statement Assume that a point on an ellipse is described by the vector r=m(a\cos{\theta},b\sin{\theta}), where 0\leq m\leq 1 and that the vector is rotating in the clockwise direction at constant tangential velocity W when m=1. The problem is to find the velocity W(m). Also...
  47. R

    Calculating Bullet Trajectory Distance at 30° Angle

    Homework Statement A bullet is shot at initial velocity of 600m/s at an angle of 30 degrees. How far will it travel before landing? (Assume no air resistance) v=600m/s a=9.8m/s^2 t=? distance=? Homework Equations x=x0+v0t+1/2at^2 The Attempt at a Solution I'm stuck on this...
  48. J

    Rocket trajectory in vertical launch then free fall

    Homework Statement A rocket is launched to travel vertically upward with a constant velocity of say...20 m/s.After travelling maybe 35 s the rocket develops snag and its fuel supply is cut off. the rocket then travels like a free body, the height achieved by the rocket will be...
  49. I

    Trajectory, does it clear a certain height problem help

    Trajectory, "does it clear a certain height" problem help! Homework Statement A place kicker must kick a football from a point 45.5 m from the goal, and the ball must clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 19.0 m/s at an angle of 48.0°...
  50. G

    Helical Trajectory - magnetic field

    Homework Statement An electron enters a uniform magnetic field B = 0.246 T with its velocity vector making an angle of θ = 49.7 ° with respect to the B vector. Determine the radius r and the pitch p (distance between loops) of the electron's helical path assuming its speed is 3.0 x 106 m/s...
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