Trajectory Definition and 467 Threads

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 ...

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...

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...

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...

I'm trying to understand the mathematical methods of computing the atmospheric trajectory of a meteor for two or more stations. Ceplecha wrote a rather complete description of this in around 1987. See <http://adsabs.harvard.edu/abs/1987BAICz..38..222C>. Something of a simpler version meant for...

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...

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...

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...

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 ..

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...

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...

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...

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...

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°...

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...

I want to find out the trajectory and the force of my bow and arrow. I was wondering how I could actually do this. I know how to calculate the force and kinetic energy of the arrow but I don’t know how to plot out the path of the arrow in flight I thought I might have to use Kinematics but I am...

I suppose this is also related to thrust vectors. I have a Y pipe with two exit nozzles. These exit nozzles are angled 43.75 degrees from the vertical and are at a radius of .1968m from the vertical. These nozzles have a deflector that can move from 0 degrees (fully open), to 90 degrees...

Generally speaking, phase trajectories can not intersect in any dimension phase space. But how about rest points. can trajectories truly entry equilibria. THX!

Homework Statement A missile's trajectory takes it to a maximum altitude of 1200 km. If its launch speed is 6.2 km/s , how fast is it moving at the peak of its trajectory? Homework Equations K+U = K_o+U_o U(r) = -GMm/r The Attempt at a Solution Alright some people have been...

Homework Statement An charge with mass m and charge q is emitted from the origin, (x=0,y=0). A large, flat screen is located at x=L. There is a target on the screen at y position yh, where yh>0. In this problem, you will examine two different ways that the charge might hit the target. Ignore...

I thought of the following academic problem while watching a baseball movie. I ballplayer wishes to throw the game-winning ball to a kid in the stands. He wants to minimize the final velocity of the ball. Not the horizontal component of the velocity, but the the total magnitude of the...

Homework Statement While standing on frictionless ice, you (mass 65.0 kg ) toss a 4.50g rock with initial speed 12.0m/s . The rock is 15.2 m from you when it lands. Take the axis on the ice surface in the horizontal direction of the motion of the rock. Ignore the initial height of the toss. At...

Hi, I didn't post this question in the Homework section as it is not home work and does not seem to fit with the template. I was wondering if someone could help me out with trying to calculate certain unknowns when computing the trajectory of a mortar round. I think the solution to the...

A baseball is hit by a bat and given a velocity of 40.0m/s at an angle of 30 deg above the horizontal. The height of the ball above the ground upon the impact with the bat is 1.0m. (a) What maximum height above the ground does the ball reach? (b) A fielder is 110.0m from homeplate when the...

A particle's trajectory is described by x=((1/2)t^3 - 2t^2) and y=((1/2)t^2-2t) , where t is in s. What is the particle's speed at t= 4.5 s? What is the particle's direction of motion, measured as an angle from the x-axis, at t=4.5 s? I keep geting the wrong answers >:0 , how do I go...

A ball being thrown, ignoring drag or wind, has an initial height, initial velocity, and experiences the acceleration due to gravity. When a ball is launched from the ground, y_0 = zero, complementary angles (for example 20 and 70 degrees) will produce the same distance for the same initial...

Hi everyone, Im new on here, joined in the hopes that someone might be able to assist. Myself and a friend have created a freestyle motocross park, with all kinds of huge jumps. We have just been approached by the owner of an earthmoving company who is going to sponsor us the earthmoving...

Homework Statement a particle is on a trajectory defined by the parametric equations x(t)= 2t^2,y(t)= t^2-4t, z(t)= 3t-5, where t is the time.Find the components of its velocity and acceleration at time =1, in the direcion i-3j+2k. Homework Equations what i thought is r(t)=x(t) i...

Why is the trajectory of a rocket always parabolic if a rocket launches straight up in the air perpendicular to the ground? Doesn't a rocket just drop straight down back to the launch pad? I think the rocket lands away from the launch pad depending on the speed of the rocket.

I am having a problem with this question. I have it half solved but I cannot figure out what equation I am supposed to use for the rest. Homework Statement A hunter shoots his rifle at an angle of 27.2 degree above the horizontal. He is holding the rifle so that the muzzle of the rifle is...

Trajectory of a bullet with drag In most physics books, they pass over drag problems because of their difficulty. However, I had to do one for a mid-term for a physics class. When the velocity is low (tens of m/s or less), then the drag is proportional to the velocity and the math is quite...

Free Fall Trajectory So I am basically lost in what that means. I think it is the component method for vectors? Am I right? Some background on the lab: We rolled a marble down a curved ramp so that it went off the table and hit the ground in front of the table. (we marked where it hit with...

An arrow is shot at 29.0° above the horizontal. Its velocity is 50 m/s and it hits the target. What is the maximum height the arrow will attain? The target is at the height from which the arrow was shot. How far away is it? if anyone could give me some tips or steps to solve this...

Homework Statement I'm a homeschool senior and I'm not starting physics until the second half of the year, so I haven't learned how to do this yet. I'm part of the local Science Olympiad team and I'm heading up the Trajectory project. We have to land the projectile in a certain spot, at a...

Homework Statement a rock of mass 0.500 kg is tied to a string of radius 75 cm and is revolving in a vertical circle at a uniform speed. determine the minimum speed for the rock to maintain a circular trajectory without the string collapsing (not staying taut). (Hint: where would that occur in...

A certain airplane has a speed of 250.0 km/h and is diving at an angle of 30.0° below the horizontal when the pilot releases a radar decoy. The horizontal distance between the release point and the point where the decoy strikes the ground is 700 m. (Neglect air resistance.) How high was the...

A target is suspended on a platform. A dart launcher is placed at ground level and aimed directly at the target along the line of sight (the distance between dart and target can vary infinitely). Assume a bottomless pit below the target. The dart is launched, and regardless of speed, it will hit...

I'm having difficulty figuring out this problem. Is there a formula I can use? A juggler throws a ball straight up into the air with a speed of 14m/s. With what speed would she need to throw a second ball half a second later, starting from the same position as the first, in order to hit the...

Homework Statement http://steam.cs.ohio.edu/~cmourning/problem1.jpg If the image doesn't load (and it might not, although I'm not sure why), it can be found at: http://steam.cs.ohio.edu/~cmourning/problem1.jpg Homework Equations Part of the problem is I'm not entirely sure what all the...

I have a test tomorrow and the book does not even explain it that well. Than You

hello all I am in the midst of designing a motorcycle that I will be building. one of the things I would like to do is use a girder style front suspension with unequal length links. I am attempting to design it to have minimal variance in rake and trail, with trail being my chief concern...

Hello, I want to know how long time a running runner needs to reach a point, when he is initially running in the wrong direction. I'd like to do this with minimal calculation, so an approximation at 10% would be enough. To even complicate the problem more, the runner can decelerate...

got a question here saying first to find the equlib points of the system xdot=x(x+1) so there obviously 0 and -1 then part 2 is draw the trajectory in the x-xdot plane the answers are increasing above 0 decreasing between -1 and 0 and increasing at <-1 again for obvious reasons. then i am...

Homework Statement A particle is located at r=(2i+4j)m at t=0s. At t=3s it is at r=(8i-2j)m and has velocity v=(5i-5j)m/s a)what is the particles acceleration vector a? Homework Equations r1=r0+v0(t1-t0)+1/2a(t1-t0)^2 v1=v0+at The Attempt at a Solution v1=v0+at...

Ok, so this is a problem I made up, but it has been bothering me, so here it is! Homework Statement There are two flat rectangular conductors of negligible thickness, both with a length of L and width of W. Each is charged up to a certain different voltage, V1 and V2 respectively. The...

Hello, Homework Statement This is not really a homework, but it can be viewed as one. I am trying to design the animation for a roulette ball, but I stumbled over a problem. On a real roulette wheel just over the numbers, there are some small bumps (i don't know the technical name) that...

good night, we are new in this forum. we have a physics question about parabolic trajectory... when a projectile is thrown with a certain angle, with initial v_0x and v_0y speeds, the trajectory of this projectile will be a parabola... the initial x and y velocities will be...

Homework Statement A truck loaded with cannonball watermelons stops suddenly to avoid running over the edge of a washed-out bridge (see figure). The quick stop causes a number of melons to fly off the truck. One melon rolls over the edge with an initial speed vi = 10.0 m/s in the horizontal...

Homework Statement a particle P of mass m is projected vertically upwards with velocity U_0\mathbf{k} in a uniform gravitational field -g\mathbf{k} with air resistance proportional to the square of the velocity. This is a five part question for which I have found the solutions but there is one...

A 36-kg shell is fired from a gun with a muzzle velocity 185 m/s at 59 degrees above the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass. One fragment, whose speed immediately after the explosion is zero, falls vertically. What is the horizontal...