Trajectory Definition and 446 Threads

Homework Statement a projectile is shot from the edge of a cliff 125m above ground level with an initial speed of 105m/s at an angle of 37 degrees with the horizontal axis. 1.determine the time taken by the projectile to hit ground. 2.determine the range X of the projectile as measured from the...

A playground is on the flat roof of a city school, 6.00m above the street below. The vertical wall of the building is 7.00m high, to for a meter-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of 53.0 degrees...

In a local bar, a customer slides an empty beer mug down the counter for a refill. The bartender is momentarily distracted and does not see the mug, which slides off the counter and strikes the floor 1.40 m from the base of the counter. If the height of the counter is .860 m, (a) with what...

Homework Statement This is not a homework prob, its just something I was trying out. To find the equation of the path of the projectile when air friction is considered. Homework Equations F=-bv, where v is a vector. The Attempt at a Solution Let the projectile be launched...

Homework Statement I would like to graph the position, velocity, and acceleration curves (over time) of an object that is launched straight up from the surface of the Earth, but I need to take into account the fact that the Earth's gravitational pull weakens as the object gets higher. The...

a body of mass m1 and speed v1 collides with a body of fmass m2 at rest. the bodies ad here; the collision is perfectly inelastic. what fraction of the initial kinetic energy remains? a body of mass m, moving with velocity v1, strikes an ideintical body at rest, off center. friction and...

At this point in my project I'm merely trying to work out the correct formula to put together to find the x and y components of a trajectory traveling in a parabollic path. My teacher showed me two different forms and said for me to try to figure out which one was best for my specific...

I play tabletennis and it is obvious that with top spin, the ball go down faster than the one without any spin. I have try to explain by bernoulli, but it seems the result is opposite: top spin ball will drift more!. Anyone can help?

Homework Statement The pilot of an airplane, carrying a package of mail, wishes to hit recovery location A. Assume that the plane is traveling at constant speed of 200 km/hr at a constant height of 100m above the ground. What angle theta with the horizontal should the pilot's line of sight...

I am trying to plot the trajectory of a projectile. I found formulas for finding the drag force, but it only gives me the drag force at an impossibly short interval of time, i need it to affect the trajectory of the projectile threw out it's path. The projectile is also affected by gravity. If...

Homework Statement I need to know how to apply the coefficent of friction and gravity to a 3-coordinate (3D) velocity vector. For my Intro to C Programming class, our final project is to write a program that simulates the trajectory of an asteroid passing a gas giant. The problem is, I...

Homework Statement A projectile is fired from the origin down an inclined plane that makes an angle, b, with the horizontal. The angle of elevation of the gun and the initial speed of the projectile are a and V, respectively. Show that the angle of elevation, a, that will mazimize the...

I have to find the orthogonal trajectory to the family of circles tangents to the x-axis. I eventually found that the derivative of the orthogonal trajectory would be: \frac{dy}{dx}= \frac{-x^2 + y^2}{2xy} But how do i find the equation for "y" explicitly? (ps. This is not an assignment...

Suppose the force of wind resistance is proportional to the speed of the object and in the direction opposite of the object’s velocity. If you throw an object upward, when is the magnitude of the acceleration the highest? a.It is highest at the top of its trajectory. b.It is the highest...

8. A Physics student on Planet Exidor throws a ball, and it follows the parabolic trajectory shown in Figure 6.8 (whille it will not be recreated on this forum, the figure shows a part of a parabolic curve which starts at the origin and peaks at t=2. It also shows the velocity vector at t=1...

Could the rate of change of accelaration (or jerk in m/s3) affect the trajectory of a projectile? If so could it be to a noticeable extent? Given two systems where projectiles are fired by different propellants, say gasses with different rates of expansion. One reaches its maximum velocity...

1) An electron and a proton are injected into a uniform magnetic field at right angles to the direction of the field with the same Kinetic Energy. Then: a)the electron trajectory will be less curved than the proton trajectory b)the proton trajectory will be less curved than the electron...

I am working on this problem, and have a simple question. Determine the orthogonal trajectory of x^p + Cy^p = 1 where p = constant. I start out by taking the derivative with respect to x. My question is this. does Cy^p become Cpy^{p-1} or C_1y^{p-1} ? Thanks, Morgan

Ok I think i am getting the hang of this stuff. But, A rookie quaterback throws a football with an initial upward velocity component of 16.0 m/s and a horizontal velocity component of 19.0 m/s. Ignore air resistance. a. how much time is required for the ball to reach the highes point of...

Ok guys, I'm stuck on this question I was wondering if you could help me out. Its actually in 2 parts (2nd part harder than 1st part). 1st part: At what height will a bullet reach if fired at 1000mph straight up (excluding all other forces except gravity) 2nd part: At what angle would a...

So I was curious as to how far a high velocity bullet would travel if fired at a 45 deg angle. I used the muzzle velocity for a .306 150 g bullet which is 2700 fps or 822.9 m/s. I only calculated this for zero air resitance because I quite honestly don't know how to calculate for air...

This is my physics coursework task and although I have had only minor difficulties in actually doing the work, I thought I would post some of the things that I found to verify. Basically, I began with saying that the initial speed (u), initial height (h), gravitational constant (g) and the...

Can an object be constructed in such a way that, when thrown WITH rotation in space, causes the object to curve in it's trajectory. Now, I'm not referring to "curve balls" in baseball, because a curve ball in space will not curve. Rather, I'm thinking somewhere along the lines of a "dumbell"...

hello guys! i find physics really difficult and my classmates and i have been dumbfounded by this problem. hope you could help me with the formulas i should use and how is should use them. this is was the first problem: ooops..this problem aint a trajectory problem. its a projectile motion...

Hello. Does anybody knows the formula for trajectory of curving ball (in 3D).

I am not getting the same answer as the text for this problem: A cannon is fired from the top of the castle wall. The cannonball is fired at 50 m/s at an angle of 30 degrees. A cannonball that was accidentally dropped hits the moat below in 5s. (a) How far from the castle wall does the...

A student standing on the ground throws a ball straight up. The ball leaves the student's hand with a speed of 11.0 m/s when the hand is 1.50 m above the ground. How long is the ball in the air before it hits the ground? (The student moves her hand out of the way.)

Mathematically, how would air resistance affect trajectory? Suppose I shoot a cannonball with initial velocity v_0 at an angle of elevation \theta . Air resistance is a force antiparallel to velocity, represented by the equation (according to Barron's Physics C review book!) \vec F_{air} =...

Me and a friend are trying to write a Scorched Earth game clone and we're trying to figure out an algorithm to calculate ballistic trajectory (factoring in gravity and wind). I'm not very good at physics what-so-ever, but I've managed to make an algorithm for projectile trajectory (with...

object thrown up with initial velocity of 15 m/s and horizontal velocity of 18 m/s, how much time is required to reach the highest point of trajectory? Vox = 18 y = yo + vosint + 1/2gt^2

this is the problem: A projectile is fired with an initial speed u and at an angle of elevation ®. The air resistance is known to be quadratic and the terminal velocity has a magnitude vt. Show that the equations of motion for the projectile can be cast into the form y' = f (t; y); t >=...

Hi, I need to plot as a function of time, the altitude of a capsule bringing astronauts back from space. I have all the values required in order to calultate it but I'm not sure how i plot it as a function of time? Is it simply a differential matter? Your help is much appreciated...

Q.Ted Williams hits a baseball with an initial velocity of 120 miles per hour (176 ft/s) at an angle of q = 35 degrees to the horizontal. The ball is struck 3 feet above home plate. You watch as the ball goes over the outfield wall 420 feet away and lands in the bleachers. After you congratulate...

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...

What makes a trajectory (orbit) bound?

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...