The description of the movement of bodies by their position, velocity, acceleration (and possibly higher time derivatives, such as, jerk) without concern for the underlying dynamics/forces/causes.

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Free fall into circular motion

If I'm on a roller coaster free falling from height h and then suddenly start going into horizontal motion with a radius r of turn what is the g-force I experience? I worked out the equation like ...
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9 views

2 balls projected upwards, find the place of collision [on hold]

Problem: A ball is thrown upward with velocity $19.6ms^{-1}.$ A second later, another ball is thrown upward with velocity $9.8ms^{-1}.$ When and where will these 2 stones collide? I recently ...
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0answers
18 views

Question of mechanics? [on hold]

There are two parallel train . One of the train overtake another one in 20 second and that train crosses another train in 10 sec. The length of train is 200m How to calculate the velocity ? Here is ...
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25 views

Speed at time of impact [on hold]

A car runs off the road and hits a stationery rock. Some glass pieces from the windscreen are projected forward and were found at an average distance of 15 meters from the car. The average height ...
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0answers
16 views

At time t=o a body is thrown vertically upward with a velocity u at time t=t [on hold]

At time t=o a body is thrown vertically upward with a velocity u at time t=t another body is thrown with same velocity u . when that two body will meet together ?
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1answer
35 views

Change of direction in physics when an object in motion stops

Consider an object moving with an acceleration $a = -1 \text{m/s}^2$ starting with speed $v(0) = 4 \text{m/s}$ towards east and stopped after 4 seconds. (There are no friction.) After 4 seconds, the ...
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1answer
28 views

How to know if a body is travelling with uniform acceleration or not?

One of the Example in my Textbook is A body travels a distance of 2 m in 2 seconds and 2.2 m in next 4 seconds. What will be the velocity of the body at the end of 7th second from the start. In ...
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25 views

Would momentum be conserved in teleportation? [closed]

Defining teleporation loosely as at least quantum tunneling all of your particles and preserving the arrangement. If that doesn't work, assume the mechanisms of the most basic definition of ...
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1answer
31 views

Is motion along the $x$ and $y$ axises independent with quadratic drag?

It's often stated that motion in the $x$ and $y$ axises are independent, so that changing the $x$-velocity will not influence changes in the $y$-velocity. To me it seems that with quadratic drag (drag ...
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1answer
60 views

Are perpendicular components special in vectors?

We can split a vector (velocity/displacement vector) along any two directions as long as the resultant of the oblique components of the vector is same as my original vector. Similarly if we have to ...
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4answers
57 views

Can we observe two different events occuring at the same point?

I was wondering a situation. Suppose a train is moving with a certain acceleration. It turns on its front light at a certain time, and it's back light say t s after. But to a inertial, or non ...
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0answers
31 views

Hitting a skateboard while riding it [closed]

I am rigidly sitting on a skateboard, the skateboard and I have a total mass of 100kg. I have a hammer that weighs 50 kg. If i swing the hammer and hit the skateboard parallel to the ground with a ...
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25 views

Free fall motion of a body [closed]

A ball is projected vertically upwards with an initial velocity of 100m/s. Find the speed of the ball at its maximum height Take g=10metre per second square.
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21 views

Motion of particle in $T$ seconds [closed]

A particle starts moving from rest position ($v = 0$) under a constant acceleration $a$. If it travels a distance $\Delta{x}$ in time $T$, what distance will it travel in the next time $T$?
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1answer
23 views

Vectors and projectile [closed]

Two particles A and B starts moving from a high point O at t=0 in the opposite direction with horizontal velocities 9 3 m/s and 4 m/s respectively. Due to earth's gravitational field the two particles ...
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3answers
39 views

Displacement based on acceleration in km/h$^2$

For calculation of displacement based on acceleration and time, I have the formula below: $$ x = v_0t + \tfrac{1}{2}at^2 .$$ If I get $a$ in km/h$^2$, and $x$ in km and $v_0$ in km/h and I suppose ...
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1answer
35 views

Calculating time and speed change on downhill incline

I am trying to calculate the time and final speed if lets say a bike with constant speed of 20km/h of goes in this incline (downhill), what would be its speed after say $M$ meter ? I remember the ...
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3answers
40 views

Acceleration derivative

I am reading Morris Kline's "Calculus" and I fail to understand this notation: We have acceleration to which an object $r$ feet from the center of the earth (and above the earth) is subject. If we ...
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0answers
24 views

Angle to move in to cross river w/ a current? [closed]

so I have a hw problem given that a swimmer is swimming 1.2 m/s relative to the river and they swim across trying to get the a point directly opposite the 74 m wide river but they end up 33 m ...
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32 views

Does “$\mathbf r[~t~]$” correctly denote the trajectory of a point particle wrt. a reference system w/o having to decide on a particular origin? [on hold]

Consider a specific geometric reference system, e.g. a specific inertial frame(1): the suitable set of point particles $\mathcal S := \{ H, J, K, ..., O, P, Q, ... \}$; and consider one other point ...
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4answers
131 views

Is magnitude of velocity same as speed?

Is magnitude of instantaneous velocity same as instantaneous speed? More specifically, is $$\left|\frac{d\vec{r}}{dt}\right| = \frac{d|\vec{r}|}{dt}\; .$$ Also Is it wrong to say that ...
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37 views

Dynamics and kinematics of quantum field theory

What is the difference between dynamics and kinematics of quantum field theory? I read that in QFT there is no possibility to keep the two things distinct because of a problem with the separability of ...
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19 views

Motion decomposition (Relativistic case)

When an electron moves at very close at $c$ (speed of light), is it physical to decompose the motion in two other directions (like what we do in classical case). If so, the motion in each direction ...
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1answer
41 views

Derivation of $V_f^2=V_i^2+2a\left(x_f-x_0\right)$

I'm reading this book on Classical mechanics, and they show a derivation of the mentioned kinematic formula: $V_f^2=V_i^2+2a\left(x_f-x_0\right)$ They start by saying that the acceleration of an ...
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14 views

Determining the range of values for separation angle (Landau problem)

I encountered a problem while reading the following exercise from the second Landau & Lifshitz volume: Determine the range value in the $L$-system for the angle between the two decay particles ...
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1answer
75 views

Why Aristotle made mistake about motions law? [closed]

Hi I was studying Aristotle motions law and comparing them with Newton. He states that heavier body fall faster than slow ones. I really can't understand how he could committed such a mistake...I mean ...
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1answer
46 views

Proof of (Vi + Vf)/2

Its quite intuitive that when you have constant acceleration, the average velocity is given by (Vi + Vf)/2, but how can you prove it?
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2answers
62 views

Question about kinetic energy

I have a question about kinetic energy: Imagine two vehicles with velocities $v_1$ going at $30 \frac{\text{m}}{\text{s}}$ and $v_2$ at $50\frac{\text{m}}{\text{s}}$. If they hit each other, will ...
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2answers
33 views

Find the force needed to accelerate body to a certain velocity for a certain time with respect to drag force

So, the problem is straightworward when we suggest that air resistance force is constant: $$ \vec F = \frac {\vec V_1 - \vec V_0} {t} m / b $$ $$ \vec V_0, \vec V_1 - \text {initial and final ...
0
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1answer
62 views

Woman arrives 6s late for the train. Find her velocity to reach it [closed]

A woman arrives exactly 6 seconds after a train leave the station at a constant acceleration of $0.4m/s^2$. Find the minimum constant velocity she might run to get in the train. What I did: I wrote ...
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2answers
31 views

Problem with velocity vector [closed]

Question: The radius vector of a point depends on time $t$, as $\vec{r} = \vec{c}t+\dfrac{\vec{b}t^2}{2}$ where $c$ and $b$ are constant vectors. Find the magnitude of velocity. My attempt : ...
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3answers
675 views

Radius of curvature

I have come across a question that asked me to find the radius of curvature of a projectile. As far as I know, the path of a projectile is a parabola and I have found mention of the radius of ...
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3answers
151 views

How do we calculate instantaneous velocity in 2D?

Suppose a body is moving with a constant speed of $10~\mathrm{ms^{-1}}$ in negative $x$ direction in $x$-$y$ plane. Let $\vec r$ be the position vector. Then what will be the instantaneous velocity ...
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2answers
29 views

Kinetic energy dissipation in braking a vehicle

Let's say a vehicle that weighs 20t is hauling along at 50m/s and we want to brake it down to a full stop. The kinetic energy we need to dissipate into heating up the brakes is ...
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1answer
29 views

Muting a bell with a resonating object

I recently moved into an apartment next to a church with bells and since then I haven't stopped dreaming of ways to mute them. I've been thinking about a design but I'm a little unsure of the ...
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2answers
44 views

When considering the acceleration as constant? [closed]

I'm solving a simple dynamic exercise, exercise says: "What is the absolute value of the force necessary to speed up a 500kg mass subject to 1600km/h in 1,8s, with the object from rest?" Then I had ...
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1answer
76 views

Is it right? time < 0?

I'm doing the solutions of Halliday's book kinematic exercise, given the equation of acceleration:$$a(t) = -30t.$$ One wonders when the acceleration is positive. In a resolution, says that for t < ...
0
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1answer
38 views

A problem on rectilinear motion in a car [closed]

Today, I attempted the third question in the first chapter (Physical Fundamentals of Mechanics) in the book Problems in General Physics by I. E. Irodov. The question goes like this: A car starts ...
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2answers
51 views

Why does the sound of my tea stirring go up in tone the faster I stir?

I've noticed that when stirring my tea, as I stir faster the tone generated by the stirring goes up. Why is that? Is it something to do with the Doppler Effect? EDIT -------------------------- ...
0
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1answer
28 views

If velocity for an interval is zero then is acceleration also zero throughout?

We know that if velocity is zero for an instant, then acceleration need not be zero (a simple example of which is a ball thrown upwards.) But if velocity is zero for an interval, will ...
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1answer
54 views

How do I set when the object isn't moving

I started studying instantaneous velocity derivatives using only now. It may seem stupid but really I'm not sure whether that's right: I have an equation: $$x (t) = 1.5t - 9,75t³$$ To set the time ...
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0answers
40 views

How to locate the initial speed? [closed]

I have this question: Two men were delivering a crate of mass $100~\text{kg}$ to a house up a hill which is inclined at $35^\circ$, when it dropped and slid down the hill. The coefficient of ...
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0answers
23 views

Bezier curve and deceleration

I have a question regarding calculation of a bezier curve. I'm programming an app where in there's continuous straight line motion of a vehicle at a constant speed. (Let's call it 'u'). When the user ...
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0answers
23 views

Why are springs shaped as they are? [duplicate]

It must have something to do with Hooke's Law and their tendency to have a restorative force as equal to the distorting force as possible; but I'm not sure. Help please?
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0answers
16 views

Differences between empiric laws of Galileo and Kepler

Although in both cases we encounter empiric laws, as far as I know Galileo's laws of motion differ in some way from Kepler's laws of planetary movements. In what way?
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2answers
41 views

What is a good book to learn AP Physics C? [duplicate]

I am looking to learn AP Physics C (if you are not acquainted with the curriculum see here), both the mechanics part and the electricity/magnetism part. I have not had much exposure to an AP-style ...
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3answers
60 views

Angular acceleration - radial & tangential

Since ever I knew that radial (angular acceleration) is equal to $ W^2 * R = V^2 / R $ and that the tangential depends in the situation (School physics & calculus). Recently I encountered the ...
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1answer
32 views

Minimum distance between two bodies attached by a spring

Take two bodies of masses m and M attached by a spring of constant K on a smooth horizontal surface. The system is at rest. A constant force F acts on body M, horizontally. To study the motion of the ...
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37 views

Total cross section of particle decay

Suppose a particle A travelling along the $z$-axis and decays into particles B and C. The cross section is given by $$\frac{d\sigma}{d\cos\theta^*} = k(1+\cos\theta^*)^2$$ where $k$ is a constant ...
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1answer
103 views

How fast would one have to travel in an airplane in order to experience a continuous sunset?

For the sake of simplifying this problem and removing any guess work on how high the plane is flying, we'll say that our airplane is at 30,000 ft. as this is the average altitude for commercial ...