Questions tagged [projectile-motion]

This tag is for questions regarding to "projectile motion", the motion of an object thrown or projected into the air, subject to only the acceleration of gravity.

When a particle is thrown obliquely near the earth’s surface, it moves along a curved path under constant acceleration that is directed towards the center of the earth (we assume that the particle remains close to the surface of the earth).The object is called a projectile, its path is called its trajectory and the motion is called projectile motion.

Example: The motion of falling objects, as covered in Problem-Solving Basics for One-Dimensional Kinematics, is a simple one-dimensional type of projectile motion in which there is no horizontal movement.

  • In a projectile motion, the only acceleration acting is in the vertical direction which is acceleration due to gravity $(g)$.
  • Air resistance to the motion of the body is to be assumed absent in projectile motion.
  • Projectile motion only occurs when there is one force applied at the beginning on the trajectory, after which the only interference is from gravity.
  • Equations of motion can be applied separately in $X$-axis and $Y$-axis to find the unknown parameters.

For more details follow the references.

References:

https://en.wikipedia.org/wiki/Projectile_motion

https://byjus.com/physics/projectile-motion/

https://courses.lumenlearning.com/physics/chapter/3-4-projectile-motion/

229 questions
0
votes
0 answers

The locus of a point moving toward an another moving point

Let A be a point at the origin of a plane and B(0;50). A moves along the Ox axis while B moves toward A. The rate which A moves is 0.5 unit per second while the rate which B moves is 3 units per second. Find their collapse point. I'm aware that…
ElementX
  • 922
0
votes
2 answers

how to find the horizontal position where a projectile lands with inital height, initial velocity and angle

I am trying to find the horizontal position where a projectile lands. I have been given the initial height, initial velocity and the angle in degrees the projectile is launched at. I have tried finding the vertical and horizontal velocity and then…
0
votes
1 answer

Projectile - Defined by any two variables, except $h$ and $t$?

Consider the following variables for a projectile: launch velocity $v$ launch angle $\theta$ horizontal range $r$ maximum height $h$ total time taken $t$ It can be easily shown that the projectile can be defined by specifying any two of the…
0
votes
1 answer

Show the maximum height of particle

I have the question "A particle is projected so that the horizontal and vertical components of its initial velocity are U and V respectively. Show that the maximum height of the particle is: V^2 / 2g " Here is my attempt however I do not get the…
Dan
  • 1,649
0
votes
0 answers

Projectile motion question involving a bullet

I have the question A bullet is fired horizontally at a speed of $65$ m/s from the top of a vertical cliff overlooking the sea. The height of the cliff is $10$ m. Calculate: a) The time for which the bullet is in the air before it enters the…
Dan
  • 1,649
0
votes
1 answer

Finding start time offset of two projectiles colliding

I have two projectiles that are launched at different times. The one that is launched second should collide with the first one mid-air. Given are the launch angles αP1&αP2, start speeds v0P1&v0P2 and start positions(x0P1/y0P1)&(x0P2/y0P2) of both…
Don_M
  • 1
0
votes
1 answer

Projectile Velocity with Drag

I'm trying to determine the velocity profile (and trajectory) of a small projectile that is fired with an initial velocity. I'm implementing it in Mablab and my equation isn't working out and I just can't figure out what the problem is. The…
0
votes
2 answers

laws of motion calculation

Not sure about the answer to this question, it seems to indicate an illogical length. Using Laws of Motion a) A jet aeroplane has a landing speed of $70m/s$. Its speed is reduced to $8m/s$ in $10$ seconds. Calculate the distance traveled in this…
Moose
  • 35
0
votes
1 answer

Possible angles and ranges of a projectile

A projectile is fired with initial speed 25m/s and passes through a point 10m up and 20m horizontally from the point of projection. Find the two possible angles of projection and for these two trajectories find the difference between their maximum…
John C
  • 39
  • 5
0
votes
1 answer

Find $X$ and $U$ for projectiles.

A projectile is fired from horizontal ground at an angle of $X$ above the horizontal and speed of $u$ m/s and lands a distance of 100m away. Another projectile is fired with the same initial speed but at an angle of $2X$ above the horizontal and…
John C
  • 39
  • 5
0
votes
1 answer

How to find trajectory x displacement when it reaches a given height

I have a problem where I am trying to find the displacement in the x axis (i.e distance along the ground) of a projectile from the start point (where it is launched) to the point where it reaches a given height. I know the initial velocity (v0),…
0
votes
2 answers

How do you derive the fifth equation of motion ( i.e. SUVAT equations)?

I understand how to derive the following 4 SUVAT equations: (1) v = u + at (2) S = ut + 0.5at^2 (3) S = 0.5(u + v) x t (4) v^2 = u^2 = 2as I understand that the 4th equation is obtained by rearranging equation (1) to make 't' the subject and…
0
votes
0 answers

Dynamics- Projectiles and the envelope equation

The question asks: A ball is launched from the origin O at ground level V We've been asked to derive the envelope of trajectories equation which I did fine. Then it says: A vertical wall of height H is placed a horizontal distance D from O. Find…
john
  • 21
0
votes
0 answers

Why can you not use this equation of motion here?

Say you have a missile that is launched from the ground at $t = 0$, with an initial velocity of $80.1 ms^{-1}$ at an angle of $57.3$ degrees. At some time it is displaced $200m$ vertically and has a velocity of $50ms^{-1}$ at an angle of $30$…
0
votes
1 answer

Projectiles and motion, finding angle between position vectors

Particles $P_1$ and $P_2$ have position vectors $r_1(t)=t\vec i+\frac{t^2}{2}\vec j +\vec t$ and $r_2(t)=\frac{t^2}{2}\vec i +t\vec j+t\vec k$ respectively. Question asks us to: Find the angle $θ$ between the paths of these two particles at…
john
  • 21