Questions tagged [projectile]

Object moving through space due to the exertion of a force.

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26 views

Centre of mass understanding [closed]

At time t0 = 0 a particle P1 of mass m is projected vertically upwards from the ground (height h0 = 0) with speed v0 > 0. At time t1, when P1 moves upwards with speed v0/2, another particle P2 of the ...
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Can someone explain this kinematics problem to me? [closed]

This is the problem itself. It is from David Morin's Introductory Mechanics. This is the solution to the problem (or part of it)
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Air resistance of a high velocity cone

This is research for a speculative fiction device. A cone (whose height and radius is on the order of metres, mass in tens of kilograms) flies point-first through air (equal or somewhat less than ...
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Projectile thrown off an incline [closed]

I am asked to find the relation between $\mathbf R$, $\mathbf d$, $\theta$ and $\pmb v_0$. S.t $$\mathbf R\sin2\theta + \mathbf d(1+\cos2\theta) = \frac{\mathbf R}{\mathbf R_0}$$ Where, $$\mathbf ...
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Tom holds a an item 1 m above the ground. He throws it up and observes it takes 0.8s to reach max height [closed]

a) What is initial velocity of the item? b) What is it’s max height above the ground? c) How long does it take the item to hit the ground after thrown? I am unsure of what steps I need to do to ...
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Why does the property of a projectile is different from a parabola (with the opening downward) represented by a quadratic equation?

The property of a projectile make me think about those sine and cosine graphs I had learned in trigonometry class, which the distance between every two points on that parabola is the same but the ...
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Finding the Initial Launch Velocity of a Ball Whose Launch Angle is Known and Trajectory Contains a Given Point (Accounting for Air Resistance)

I am working on a project that involves launching a ball through a basket (similar to basketball, but on a smaller scale for now). I haven't started building the project yet as I wanted to work out ...
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Velocity vs. Time for ICBM [closed]

A velocity, altitude, and downrange distance vs. time profile for a typical ICBM would be helpful to me. Particularly velocity vs. time. General descriptions, basic principles, and design ...
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Optimize crossbow [closed]

I'm currently building a crossbow and was wondering how I might improve the performance of it? I was suggested to fine-tune the rubber band more and maybe change the projectile maybe to a zinc alloy ...
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2answers
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Why can you in physics exercises neglect the effect of air drag in case of basketball but not in the case of ping pong ball?

This is not a homework question or anything. I have finished schools and I always wondered why in physics exercises you can neglect the effect of air drag for example in case of basketball and I haven'...
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Textbooks/papers on behavior of rigid body in funnel or liquid vortex

I´d like to learn more about the behaviour of a rigid body, e.g. a ball, in either a funnel or a vortex created in a liquid. Is there any textbook or paper you recommend for beginners? In particular, ...
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How can there be acceleration but no velocity at instant of maximum height when object projected upwards? [duplicate]

When we project an object vertically upwards its velocity at maximum height consider to be zero but still, it has acceleration due to gravity i.e $9.8\mathrm{m/s^2}$. But mathematically we know that ...
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When does gun barrel length become too long with a constant pressure?

Just struck out of curiosity, It is a fact that longer gun barrels do increase the acceleration of a projectile, but an infinitely long barrel does not give infinite acceleration. So then, with a ...
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1answer
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Kinematics: 2 dimensional vs. 3 dimensional motion

I just studied kinematics and saw "throwing a ball in air" as an example of a 2 dimensional motion. I have a doubt that if we are throwing a ball in space, it should also have a $z$ coordinate, so why ...
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Skydiving air resistance problem [closed]

A skydiver is at an altitude of 1520 m. After 10.0 seconds of free fall, he opens his parachute and finds that the air resistance, $F_D$, is given by the formula $F_D=−bv$, where $b$ is a constant and ...
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How to calculate the velocity of a bb propeled out of a barrel by a syringe? [closed]

I'd like help breaking this scenario down into the different calculations I would need to perform. Suppose I have a syringe with the plunger pulled back, and the other end of the syringe is attached ...
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1answer
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Launching Angle of Projectile if Launching and Landing Elevations are Different [closed]

I am given a projectile system in which launching and landing elevations are different. I know the total range, gravity, and initial velocity only. I want to "Derive" a formula for launching angle, ...
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1answer
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Maximum distance to hit a moving a target [closed]

I was given the following version of the "Monkey and the Hunter" problem: A monkey is hanging from a tree at a height H. A hunter aims directly at the monkey (point object) from an horizontal ...
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1answer
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Air Resistance in Taylor Classical Mechanics

In Taylor's Classical Mechanics, he offers up a quick little example to get the reader acquainted with different scenarios in which air resistance approximated as a linear and/or quadratic function is ...
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1answer
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How to determine where an object will land on a variable elevation surface?

I'm making a game and I need to figure out the exact point on a hilly surface where the car will land after the jump. Here is an image: So since this is a game, it's very easy for me to figure out ...
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1answer
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Distance of a shrapnel ball with air resistance [closed]

How can we determine the distance a steel ball inside a grenade will fly horizontally taking into account air resistance? If we assume that the detonation velocity is 6900m/s(TNT), the ball has a ...
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High school physics conceptual issue: why can't you use $v_f^2 = v_i^2 + 2ad$ to solve projectile motion x-component?

My kid has a question in his homework that reads the following: An astronaut stands on the edge of a lunar crater and throws a half-eaten Moon Pie horizontally with a velocity of $5.00\,\mathrm {m/...
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1answer
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Vertical motion with linear drag axis problem

I'm learning about linear drag and I have a question with regards to the y component. The y component of the equation of motion (if we measure y downwards) is given by: $$m \dot{v}_y = mg - bv_y$$ ...
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1answer
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What is the particle's average velocity when it crosses half the maximum height? [closed]

A particle is thrown with velocity $u$ at an angle $\theta$ from the $ UPWARD \space VERTICAL$ Here i have tried to put $\dfrac{H}{2}=\dfrac{{u^2}{{\cos^2 \theta}}}{4g}$ in the equation of ...
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Ball motion in water

I am analyzing a video of a ball falling in water with tracker. The ball falls in a free fall for few seconds before it reaches a glass of water. The ball goes down till 3/4 of the glass, then stops ...
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Sign Problem When Dealing With Quadratic Air Resistance and Gravity [closed]

While dealing with an object falling vertically, and subject to quadratic air resistance, an equation of motion that is often presented is \begin{equation*} m\dot{v} =mg-cv^{2} \end{equation*} In ...
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1answer
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Find velocity to launch projectile from point a to b in 3d space

Given two points (x1, y1, z1), (x2, y2, z2). If I want to launch a projectile from point a to point b (with some angle) such ...
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1answer
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University Exam question about “Systems of Particles” [closed]

I am doing an old exam where I encountered this question, and no matter what I try to throw at it. I cannot solve it (This is from the Chapter "Systems of Particles, which composes of Center of mass, ...
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Does the object have acceleration in the tangential direction of the path? [closed]

Objects thrown horizontally fall freely along the path of the parabola. Does the object have acceleration in the tangential direction of the path? I think it is, but someone told me it was not. He ...
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1answer
49 views

Defining variable in projectile motion

I'm trying to understand drag on projectile motion but I don't know what this variable $b$ in Eq.1 below on p. 24 in this document is. We define the drag force to be $\mathbf{F}_D$ and the ...
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How can I change the angle in this equation to show the model?

I just can't understand how I can input different angles of launch into this equation to model the said angle. The example given is at 45 degrees but how can I change that to 30 degrees, for example? ...
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Will a dropped ball compress faster than it decompresses?

I'm modelling how a ball's compression changes over the duration of an impact. However, I'm not sure if on the physics behind the compression/decompression rate... Or would decompress at the same ...
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How can I find the fall velocity of a sphere when it is falling in a fluid?

The problem is as follows: A steel sphere falls inside of a beaker containing a fluid whose force exerted on the sphere is given by $kv$. Assuming that the sphere starts from rest. Calculate ...
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1answer
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Ballistic Motion, unable to retrieve required angle formula [closed]

I am trying to retrieve the motion for the required angle for a ballistic flight. Given the equation $$y = \tan(\theta) x - \frac{g}{2v_0^2\cos^2\theta}x^2$$ which describes the projectile motion, ...
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Why does syncing the 'stall points' of a the arms of a trebuchet with the projectile release have the effect of increasing range?

According to this video: https://youtu.be/KpFTyE-wiNo?t=412, if the arms of a trebuchet are stationary ('stalled') at the same time as the projectile is released, then it improves the efficiency of ...
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Is the direction of a bullet along the line of the bore when it just reaches or leaves the muzzle?

Is the direction of a bullet along the line of the bore when it just reaches or leaves the muzzle? In doing a general physics problem, I meet the term "muzzle speed". In the problem it seems that the ...
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2answers
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When $A$ falls into the atmosphere at an angle $\alpha$, does the terminal velocity of $A$ return to constant?

When a small meteor $A$ falls vertically into the atmosphere, the terminal velocity is constant; when $A$ falls into the atmosphere at an angle $\alpha$, does the terminal velocity of $A$ return to ...
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Textbook proof error? Runge Lenz

I was reading this proof in my textbook. They say that $$\vec{r} \cdot \dot{\vec{r}} = |\vec{r}||\dot{\vec{r}}|.$$ Doesn't that mean $\vec{r}$ is parallel to $\dot{\vec{r}}$, and if so, then the line ...
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Can we ignore air resistance?

Is there any case in real life we can get the right (correct) "equations of motion" for object with ignoring air resistance? In any object condition (size or shape of the object we are studying).
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1answer
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Does terminal velocity matter in terms of black holes?

I think we all know that black holes are considered inescapable but I was looking at terminal velocity and became interested in finding out if black holes follow the rules of terminal velocity. For ...
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Why is it apparently not dangerous to fire a shotgun (such as when “skeet shooting”) into the air?

If you fire a gun or rifle into the air, whether straight up or at an angle, as I understand physics, a metal projectile will gain surprising momentum on its way down again, more than capable of ...
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1answer
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Maximum height of a projectile [closed]

How do I calculate the maximum height of a projectile that I throw straight up if all the information I have is the total time of the projectile in the air (which is 4 seconds) with an equation?
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Shoot object upward from surface of earth with some initial velocity: Express height as function of time?

Say we shoot an object upward from the surface of the earth with some initial velocity. Then making the usual assumptions (e.g. only force acting on object is earth's gravity), we can find things ...
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Moving objects released

There is a balloon moving upwards with a small object attached to its bottom. If the object is released after some time, then will it start moving downwards suddenly, or will it move up a little with ...
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1answer
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Projectile motion; the faster projectile [closed]

Imagine this scenario: Two objects are thrown simultaneously, from $y=0$, with different speeds $u$ and $v$, and at angles $\varphi$ and $\varphi+\theta$. We want to find out which projectile returns ...
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1answer
81 views

Minimum Velocity for a projectile to leave the Earth

Let's say we have a cannonball that can shoot at various angles. How would we find the minimum velocity for this projectile to leave the Earth when the cannonball is shot at an angle $\theta$. I think ...
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2answers
177 views

Why is Speed of an object equal to square root of distance traveled multiplied square root of acceleration?

I wanted to find the relationship of the speed of a falling object in a vacuum at g=9.8 m/s2 compared to its distance. I wanted to get time out of the equation. When I plotted the relationship it ...
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4answers
527 views

Why is the mechanical energy of a free falling object conserved?

My textbook says that in an isolated system (when there is no external force and the internal forces are conservative)the mechanical energy of the system remains constant. It then states the example ...
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1answer
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Projectile motion - differentiating the equation of trajectory to find the maximum height

I have the equation of trajectory: $ y = x\tan \theta - {\displaystyle gx^2 \over \displaystyle2u^2\cos^2 \theta}$ I also know that the maximum height is given by: ${\displaystyle u^2 \over\...
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2answers
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Potential and kinetic energy of equal objects who have reached terminal velocity from different heights

My professor said that the potential energy of an object is larger the higher off the ground it is when it falls. I asked if there is a limit to that potential energy and she said no. I then asked ...

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