All Questions
73
questions
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52
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Rocket equation non-constant gravity
I am currently trying to teach myself differential equations and wondered about the following problem.
You have an object (a rocket of constant mass $m_r$) and initial velocity $v_0$ that tries to ...
- 253
0
votes
1
answer
44
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Terminal velocity gravity against first-order drag force
Let's say that we have a falling object with two forces acting on the object:
gravity $F_g = mg$ and a first order drag force $F_d = kv$.
Terminal velocity will be reached when gravity is equal to the ...
- 665
0
votes
2
answers
98
views
How to calculate the trajectory of a high speed projectile on earth?
Let’s say you launch a high velocity ($2-8km/s$) projectile from the earth at the equator. How do you calculate the trajectory of the projectile in the absence of drag? Is there a simple formula that ...
- 2,908
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votes
1
answer
143
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Maximum height of bullet shot straight up [closed]
"Consider a hypothetical dense astronomical object with a mass of $2 × 10^{30}$ kg (about the mass of the sun), and a radius of $1.4 × 10^{14}$ m. Assuming you could stand on the surface of this ...
- 3
0
votes
1
answer
46
views
Generalized projectile motion [closed]
Toss an object from the surface of earth at speed $V_1=\sqrt{MG/R}$. Here $R$ is the radius of the earth and $M$ is the mass of the earth and $G$ is universal gravitational constant. How long will it ...
- 147
1
vote
1
answer
114
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Finding the angle that gives longest path for projectile motion using the average speed over the vertical displacement of object
For projectile motion, let's say a ball is launched at an angle a with respect to the horizontal, upwards.
If I want to find an expression for the length of the path travelled by the ball before it ...
- 45
1
vote
3
answers
116
views
How to know initial jumping velocity if I know trajectory as parabola equation and gravity value?
I have a parabola equation $y = ax^2 + bx + c$ with vertex at (vertexX, vertexY)) which draws the object's moving trajectory (from point $A(0;0)$ to $B(X;Y)$). Also, I have a gravity vector ($G(0;-g)$)...
- 768
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votes
1
answer
167
views
Maximum height of a projectile when $g$ is not constant [closed]
How can I calculate the maximum height of a projectile that is launched from the surface of the earth with a given initial velocity? (ignoring air resistance in the atmosphere)
I understand how to ...
1
vote
4
answers
703
views
Why does the vertical velocity of a projectile launched horizontally, close to the surface of the Earth, not change? [closed]
I cannot find an answer to this question and every time I come close, I am lost again. This is a fairly amateur question.
I am assuming if a projectile is launched horizontally, from say Newton's ...
- 137
0
votes
2
answers
584
views
Maximum height for Terminal Velocity to be reached for a certain mass?
I know the terminal velocity equation as:
V^2=(2mg)/((CdAp)
I also know that v^2 = u^2 + 2as. Assuming the object's terminal velocity is also its final velocity, and knowing every other variable in ...
-1
votes
1
answer
49
views
An object with mass $m$ thrown with speed $v_0$. There is gravity and air resistance. Find the speed of the object right before it falls on the ground [closed]
There is an object with mass $m$ on the ground. This object is being thrown with speed $v_0$. There is gravity and air resistance. The air resistance is given by $\vec{F}=-m\alpha\vec{v(t)}$ and $\...
- 699
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votes
5
answers
123
views
Vertical motion under gravity
If we project an object vertically under gravity it travels vertically upwards until vertical velocity zero, why is that? Why does the velocity become zero?
- 21
-3
votes
2
answers
1k
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Will gravity affect a ball moving horizontally across the floor?
I was solving an exam when I came across this question:
A compressed spring projects a ball horizontally in a vacuum chamber. On the Earth, the ball reaches the chamber floor 4.0 m in front of the ...
- 377
0
votes
1
answer
67
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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?
- 1
1
vote
1
answer
47
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Calculating a free fall vector so its equals to its inverse vector while accounting for gravity
I'm a game developer, and I've been struggling with a kinematics problem in the development process of my current project.
I have some stationary objects that are suddenly affected by gravity after a ...
- 13