Help with Dynamics Please -- Projectile fired downward into a fluid medium

In summary, studying projectile motion in a fluid medium allows for a better understanding of the effects of air resistance and buoyancy on the trajectory and motion of a projectile. Air resistance can cause a curved and shorter path for the projectile, while buoyancy can counteract the effects of gravity. The launch angle and initial velocity are important factors in determining the trajectory, as a higher angle and velocity can result in a longer path. Practical applications of studying this phenomenon include designing efficient projectiles, predicting trajectory, and understanding object behavior in air or water.
  • #1
mally baringon
2
0
Homework Statement
an someone tell me how to obtain the position step by step I keep getting integration and differentiating mixed up. I can do the first two parts its where it then goes to 2/0.8 im struggling HELP!
Relevant Equations
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  • #2
Welcome to the PF. :smile:

Please show your work on the parts that you understand. That will help us a lot to understand what might be confusing you.

Also, please check out the LaTeX tutorial under INFO, Help at the top of the page. That will help you to post your work on problems like this. Thank you.
 

1. What is the definition of dynamics?

Dynamics is the branch of mechanics that deals with the study of motion and the forces that cause it.

2. How does a projectile behave when fired downward into a fluid medium?

A projectile fired downward into a fluid medium will experience both a vertical and horizontal force due to gravity and air resistance. As it moves through the fluid, the projectile will experience a decrease in speed due to the resistance of the fluid.

3. What factors affect the trajectory of a projectile in a fluid medium?

The trajectory of a projectile in a fluid medium is affected by the initial velocity, the angle of launch, the density and viscosity of the fluid, and the shape and size of the projectile.

4. How does the density of the fluid affect the motion of a projectile?

The density of the fluid affects the motion of a projectile by increasing the amount of drag force acting on the projectile. This results in a decrease in the projectile's speed and a change in its trajectory.

5. How can we calculate the trajectory of a projectile in a fluid medium?

The trajectory of a projectile in a fluid medium can be calculated using the equations of motion, taking into account the initial conditions, the forces acting on the projectile, and the properties of the fluid. This can be done using mathematical calculations or through computer simulations.

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