Projectile Definition and 1000 Threads

Homework Statement Show that for a projectile d^2 (v^2)/dt^2 = 2g^2 Homework EquationsThe Attempt at a Solution Since we are only dealing with the y component for this. 2nd derivative would be 2. But since gravity acts on it then d^2 (v^2)/dt^2 = 2g. I don't get how to get to 2g^2. Can someone...

Homework Statement What angles should an arrow be launched if it leaves the bow @ speed of 60 m/s and is trying to hit a target that is 150 m away? Assume target is same height as bow. Suppose the arrow is fired at an angle of 30 degrees & misses the target & hits the ground 1.8 m below from...

Ok, I have used every calculator I can find, typed it in several different ways for the past three hours and at this point I am giving up and asking for help. 1. Homework Statement A rock is thrown from the edge of a 14 meter high cliff with a velocity of total magnitude of 7m/s. Find the...

Homework Statement A gun can fire an artillery shell with a speed v_0 in any direction. Show that a shell can strike any target within the surface given by: (gr)^2 = (v_0)^4 - (2gz)*(v_0)^2 where z is height and r is horizontal distance the target is from the gun. Homework Equations Some...

We have a solid cube with some mass that we fire as a projectile at some angle. The cube is launched in such a way that two of the faces are perpendicular to the initial velocity vector. Assuming there is air resistance, would the cube change its orientation while it flies, even if the mass is...

Homework Statement A cannonball is fired from the top of a sheer cliff that towers over the valley fllor below. The angle of the initial velocity is 20 degrees above the horizontal. The cannonball remains in the air for 3.50 seconds before hitting its target on the valley floor, a distance of...

Homework Statement Estimate the average force exerted by a shot-putter on a 7.0-kg shot if the shot is moved through a distance of 3.0m and is released with a speed of 10m/s . Homework Equations F=ma Maybe the Five Equations for constant acceleration? The Attempt at a Solution So my guess is...

Homework Statement A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 16.0 m/s. The cliff is h= 41.0 m above a flat horizontal beach h=41 g=10m/s vi=0m/s vf2=vi2+2gh vi=28.64 h=vi+vf/2xt 41=28.64/2xt 14.32 t=2.86 28.64x28.64, 16x16 Square...

1. the surface of a hill is inclined at α to horizontal,a stone is thrown from the top of the hill at initial speed u at angle β with vertical line. How far from the top will the stone strike the ground? 2. R=(u^2 sin2θ)\g or by rotational co ordinate geometry3. can't prove that the dist...

Homework Statement A ball is thrown upward at an angle of 30° to the horizontal and lands on the top edge of a building that is 20 m away. The top edge is 5.0 m above the throwing point. How fast was the ball thrown? Homework Equations xcos30 ysin30 The Attempt at a Solution Im not sure what...

Hey everyone! I'm new to this site, but I figured I might as well start it off with a bang and go straight into the nitty-gritty. This is a problem from the homework assignment I've been given for tonight, and although I can sort of see that it can be solved, the right series of equations to...

Homework Statement A brick is thrown upward from the top of a building at an angle of 23.8 degrees above the horizontal and with an initial speed of a 14.2 m/s. Acceleration of gravity is 9.8 m/s/s. If the brick is in flight for 3.3 s how tall is the building? Homework Equations...

Homework Statement "What is the maximum angle above the horizontal with which a projectile can be fired so that its distance from its point of firing (on earth) is always increasing?" [/B]Homework Equations r^2=t^2 v^2 Cos[x]^2 + (-4.905 t^2 + t v Sin[x])^2 The Attempt at a Solution I have...

Homework Statement A projectile is fired with speed v_0 (velocity subscript zero) at an angle θ from the horizontal as shown in the figure Consider your advice to an artillery officer who has the following problem. From his current position, he must shoot over a hill of height H at a target...

1. I have a physics problem that I am having trouble understanding. Here it is: Your lunar lander (with fuel and crew) has a mass of 14,700 kg. It is initially in a circular orbit around the Moon (i.e. Viy = 0 m/s) at an altitude of 30 km above the lunar surface. To land on the Moon, you...

Homework Statement A balloon is attached to a 3m high pole. On the ground is a mortar that fires at a velocity of 7m/s at an angle of 55degrees. How far away does the mortar have to be to hit the balloon? Homework Equations y=tan(theta)x-g/(2v0cos2(theta)x2[/B]The Attempt at a Solution I...

Homework Statement Neglecting air resistance, if you throw a ball straight up with a speed of 20 m/s, how far will it be moving when you catch it? Homework Equations None The Attempt at a Solution

Homework Statement A 2.5kg cannonball is fired from the top of a 75m cliff at an angle of 30 degrees above the horizontal with an initial speed of 120m/s. Homework Equations What is the minimum speed of the cannonball? When does the cannonball hit the ground? What is it's speed just before it...

Hello my name is Aaron! I am a high school senior from northeastern Kentucky designing a pneumatic system of sorts for a science competition and need some help. I will be building a device that converts gravitational potential energy, from a falling mass, into air pressure (or possibly the...

Hello I am currently a grade 11 student taking a 11U Physics course and we are nearly done our Kinematics unit and are finishing up Projectile motion. When i asked my teacher to explain the concept behind Projectile motion, i understood what a projectile is and what causes it (the force of...

Homework Statement A skateboarder shoots off a ramp with a velocity of 5.30 m/s, directed at an angle of 52.0° above the horizontal. The end of the ramp is 1.40 m above the ground. Let the x-axis be parallel to the ground, the +y direction be vertically upward, and take as the origin the point...

Hello all! I'm trying to program a projectile motion question and I'm having some trouble with the physics that's involved. The program allows you to input the starting height, initial velocity, launch angle and the distance to a wall (also a window on the wall, but that isn't important for...

Suppose I wanted to launch a water balloon off a cliff of a known height of H and known initial Velocity of Vo, where we can neglect air resistance. Using Newton's Second Law and differentiating it, how can i derive an equation for maximum distance traveled (xmax) at an angle theta? Then from...

Hi, I am having problems solving the last problem(see attached files), i have derived these equations which i thought should would help me solve the problem but i seem to be stuck. U=(H3-H4)/(d4-D4) Height at t h and H3 are the same so i set H(initial)=0 -0,5gt^2+vsin(θ)t=-u*3*cos(θ)vt...

Homework Statement Find out the angular momentum of particle as it reaches the highest point about the origin in projectile? m=1 kg angle(i)=60 degree(with horizontal) u=10 m/s g=10Homework Equations The Attempt at a Solution As angular momentum=##mrvsinB ## Here velocity at top=##ucos\theta...

Homework Statement The longest pass in history is 85.8m. Ignoring any air resistance effects, calculate the initial speed of football.Homework Equations Vx=Vo cosΘ x=VcosΘt Vy=VosinΘ -gt y= VosinΘt - 0.5gt^2 The Attempt at a Solution I really don't know what to do here. I've looked through all...

Homework Statement A projectile with initial velocity u making an angle A with the horizontal. Find the time t when the velocity of the projectile becomes perpendicular to its original velocity.Homework Equations v = u + at s = ut + 1/2at^2 v^2 - u^2 = 2as[/B] The Attempt at a Solution I have...

Homework Statement A model rocket has an acc of 5m/s/s while its fuel is buring. Its fuel lasts for 10 sec. ignore the air resistance.Homework Equations a) max height above the ground of this rocket? b) the time this rocket in the air before it hits the ground? The Attempt at a Solution...

I am trying to calculate the area under the curve of a projectile for a school project. A simple way to do this is to integrate the following equation of the trajectory: However I've tried to use another method. Since we have the two equations for the horizontal and vertical displacements...

Homework Statement Hi all, in my grade 11 book there is a question, and the question is :- there is a ball rolling on a chair by a speed of 5.0 m/s on the X axis, the ball hit the ground on a distance of 0.25 m on the X axis, What is the Δy and what is the speed on Y axis ϑx (speed on X axis)...

Homework Statement At bat a baseball player hits a ball at a height of .889 m. The ball leaves the bat at 51 m/s at an angle of 81 degrees from the vertical. The ball skims the top of a 2.74 m wall as it leaves the field. a.) Draw position, velocity and acceleration graphs describing the ball...

You are practicing your juggling skills by throwing a single juggling ball back and forth between level hands. The distance between your hands is 40 cm. Between catches, the ball is in the air 0.85 s. Calculate the magnitude and direction of initial velocity of the juggling ball each time you...

Homework Statement A basketball leaves a player's hands at a height of 2.20m above the floor. The basket is 3.05m above the floor. The player likes to shoot the ball at a 35.0∘ angle.If the shot is made from a horizontal distance of 5.90m and must be accurate to ±0.22m (horizontally), what...

Homework Statement A ball is thrown from a bridge 200 m high with an initial velocity of 34.4 m/s at an angle of 54° above the horizontal. Homework Equations I'm not sure... arctan Vx/Vy = x? I really don't know. The Attempt at a Solution (a) How high above the throwing height does...

Homework Statement A submarine-launched missile has a range of 4330 km. (a) What launch speed is needed for this range when the launch angle is 45°? (b) What is the total flight time? (c) What would be the minimum launch speed at a 22° launch angle, used to "depress" the...

Homework Statement http://postimg.org/image/7yfw1zpq1/ http://postimg.org/image/7yfw1zpq1/ <-Question The Attempt at a Solution I don't really understand the question but ill try. I need to first find the highest angle at which the projectile will clear the peak. At Peak: Sy...

Basically..I have a canon that shoots a pingpong ball at 30m/s from any angle between 0-90 I've derived all my equations as can be seen below: So the velocity equations are: Vx(t) = (Vxo)e^(-kt/m) Vy(t) = (Vyo+gm/k)e^(-kt/m) − gm/k Integrate these to get X and Y as functions of...

I want to model a Differential Equation for a projectile motion under 2 forces (gravity and wind) So, what I have now is an algorithm that simulate the parametric motion (2d) of the project under those 2 forces (given a P position of the projectile with velocity V under a vector of forces F (or...

Homework Statement A projectile that is subject to quadratic air resistance is thrown vertically up with initial speed v0. (a): Write down the equation of motion for the upward motion and solve it to give v as a function of t. (b): Show that the time to reach th top of the trajectory...

Homework Statement In the figure, you throw a ball toward a wall at speed 34.0 m/s and at angle θ0 = 38.0˚ above the horizontal. The wall is distance d = 20.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and...

Facing some horrible mathematical situation while solving to find equation of trajectory of projectile when drag is proportional to v^2. my equations where i end up with are as follow: equation 1: mdv/dt=(-kv^2)+(-mgsinγ); equation 2: (-mv)dγ/dt=mgcosγ; equation 3: dx/dt=vcosγ; equation...

Homework Statement At the instant a horizontally held rifle is fired over a level range, a bullet held at the side of the rifle is released and drops to the ground. Which bullet, the one fired downrange or the one dropped from rest, strikes the ground first? Homework Equations None The...

Hi all, I have been given a projectile motion problem, where a ball is launched from a catapult. The range, maximum height and the launching angle is known. The range is 2.32m, the max. height is 1.26m and the launching angle is 35° from the horizontal. The projectile flight goes for 1.125...

Homework Statement SolvedHomework EquationsThe Attempt at a Solution Solved

Is this a correct derivation of a relation between displacement of a particle with its terminal launch angle, velocity, and environmental gravity? Let the velocity of the projectile be denoted V_n. Let the terminal side of the launch angle with respect to the ground be denoted \theta. The...

Homework Statement A particle P is projected from the origin with initial speed 5 m/s and projection angle theta. At time t = 0, when P is at the origin, another particle Q begins to move on the (horizontal) x-axis with initial speed 15/4 m/s and constant acceleration a = 3g/4 m/s^2...

Homework Statement Derive: R=v^2sin2theta/g Show that R=V0^2/g Homework Equations The Attempt at a Solution This is my first time to take up physics so I have no idea at all on how to do this, to be honest.

Dear physics forum, If an object is launched from a water slide with an angle theta, would the angle of launch affect the speed of the object right before contact with the landing pool, with air resistance considered? Thanks.

Hello guys. I was wondering about slides in a water a park and how they calculate the landing distance to predict where a person who land in order to keep them safe by landing them in the water of course... and also at an appropriate speed. So I want to do an experiment on this by making a...

Homework Statement An object falls from rest off a building, with a constant acceleration of 9.8 m/sec^2. The object travels half the building in its last 1 secs of its fall before hitting the ground. What is the height of the building? v_0 = 0 a = 9.8 Homework Equations x = x_0 + v_0 t +...