What is Trajectory: Definition and 463 Discussions
A trajectory or flight path is the path that an object with mass in motion follows through space as a function of time. In classical mechanics, a trajectory is defined by Hamiltonian mechanics via canonical coordinates; hence, a complete trajectory is defined by position and momentum, simultaneously.
The mass might be a projectile or a satellite. For example, it can be an orbit — the path of a planet, asteroid, or comet as it travels around a central mass.
In control theory, a trajectory is a time-ordered set of states of a dynamical system (see e.g. Poincaré map). In discrete mathematics, a trajectory is a sequence
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Hi:
I'm to write a program ("game") in which two tanks take shots at each other, with a user who inputs firing angle, gravitational acceleration and the like, I'm sure you've all heard of it.
Anyway, I'm having trouble in dealing with air resistance. Without knowing too much on the...
A projectile fired from ground level at 25 m/s hits the ground 31.25 m away. At what angle was it fired?
I wrote equations for t for both x and y
t = delta x / velocity x
t = 2 * viy/a
and set them equal to each other to eliminate t
and replaced velocityx with cos(theta)*25
and...
I have no idea what formulas I'm supposed to use here, or possibly how to use them... any help would be great...
Protons are projected with an initial speed vi = 9.73 103 m/s into a region where a uniform electric field E = (-720 j) N/C is present, as shown in Figure P23.49. The protons are...
A car in a roller coaster moves along a track that consists of a sequence of ups and downs. Let the x-axis be parallel to the ground and the positive y-axis point upward. In the time interval from t=0 to t=4 s, the trajectory of the car along a certain section of the track is given by
(look...
I need Help!
I've got this question which I can't Answer :
If the mass of the Sun is reduced by 1% and the Earth's velocity is also reduced by 1%, what will be the trajectory of the Earth?
My question reads as such:
So far, I've managed to resolve the two equations of motion, for the X and Y directions, and t final. They are as such:
x(t)=v0*t
y(t)=(1/2)*(q*E/m)*t^2
tfinal= L/v0
My problem is synthesizing these into one equation that solves for E. Any help would be...
A tennis player standing 12.6 m from the net hits the ball at 3 degrees above the hoizontal. To clear the net, the ball must rise at lease 0.33m. If the ball just clears the net at the apex of its trajectory, how fast was the ball moving when it left the racket?
would it just be...
I need some help with the problem.
A shell is shot with an initial velocity v0 of 20 m/s, at an angle of 60 degrees with the horizontal. At the top of the trajectory, the shell explodeds into two fragments of equal mass. One fragment, whose speed immediately after the explosion is zero...
Please help me with this problem! :confused: I can't seem to get it set up quite right.
A high diver leaves the end of a 5 m high diving board and strikes the water 1.3s later 3 m beyond the end of the board. Considering the diver as a particle,d etermine a) her initial velocity, B. the...
I am writing a graphics program to model projectile motion of a ball being thrown. What I am looking for is an equation that will give a specific X and Y coordinate, in the parabolic path, for any specific time it is given, and a arbitratry velocity and angle.
For example, if I give it...
I have always thought that a meteor enters the Earth's atmosphere and impacts the ground (if it doesn't disintegrate first) at an angle.
I saw something a few months ago which has bothered me ever since. I live in an area of farms, cow pastures and wilderness preserves. I was driving one...
im reading about the subject Trajectory Triangulation from here:
http://www.faculty.idc.ac.il/avidan/Traj-Trian-Pami.pdf
i haven't finished reading (so perhaps it explained in further pages) and i encoutered to words 3D line.
now i presume D represents dimension so the next question is how...