Mechanical Physics -- Find the velocity and acceleration of the particle from its position

In summary: I have not yet made its curve, because I am confused it uses a Cartesian coordinate system or another
  • #1
Fia Ismi Nur Alfiah
9
0

Homework Statement


[/B]
The position of a particle as a function of time is given by
r(t) = i(1 - e^-kt ) + je^kt
where k is a positive constant. Find the velocity and acceleration of the particle. Sketch its trajectory.

Homework Equations



v (t) = dr/dt
a(t) = dv/dt

The Attempt at a Solution



based on my opinion we can use cartesian coordinat system and than "e" is constant
 
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  • #2
Please show your actual work.
 
  • #3
Orodruin said:
Please show your actual work.
It's my homework, number of 1.21
IMG_20180311_135808.jpg
 

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  • #4
Fia Ismi Nur Alfiah said:
It's my homework, number of 1.21View attachment 221798
No. Please show your work. That is, what you have done yourself to try to solve the problem.

Note that you are required to do so by forum rules.
 
  • #5
ya, I'm sorry.
i just use this application for the first time, so i don't know how must i do, I'm so sorry
 
  • #6
Orodruin said:
No. Please show your work. That is, what you have done yourself to try to solve the problem.

Note that you are required to do so by forum rules.
it's my work, I'm sorry I'm using indonesian language in my homework
 

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  • #7
Fia Ismi Nur Alfiah said:
it's my work, I'm sorry I'm using indonesian language in my homework
Your expressions for velocity and acceleration look ok. What about the sketch of the curve?
 
  • #8
haruspex said:
Your expressions for velocity and acceleration look ok. What about the sketch of the curve?
I have not yet made its curve, because I am confused it uses a Cartesian coordinate system or another
 
  • #9
Fia Ismi Nur Alfiah said:
I have not yet made its curve, because I am confused it uses a Cartesian coordinate system or another
i and j definitely indicate a Cartesian system.
 
  • #10
haruspex said:
i and j definitely indicate a Cartesian system.
Okay, thank you [emoji4]

Sent from my Andromax A26C4H using Physics Forums mobile app
 
  • #11
haruspex said:
i and j definitely indicate a Cartesian system.
How about with my sketch? Like this or no?
IMG-20180312-WA0008.jpg
 

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1. What is mechanical physics?

Mechanical physics is a branch of physics that deals with the study of motion and forces acting on objects.

2. How do you find the velocity of a particle?

The velocity of a particle can be found by calculating the change in its position over a specific time interval. This can be represented by the equation v = Δx/Δt, where v is velocity, Δx is the change in position, and Δt is the change in time.

3. What is acceleration?

Acceleration is the rate of change of velocity over time. It can be calculated by dividing the change in velocity by the change in time, represented by the equation a = Δv/Δt.

4. How can I find the acceleration of a particle?

The acceleration of a particle can be found by analyzing its velocity over a specific time interval. This can be done using the equation a = (vf - vi)/t, where vf is the final velocity, vi is the initial velocity, and t is the time interval.

5. What factors can affect the velocity and acceleration of a particle?

The velocity and acceleration of a particle can be affected by various factors such as the force applied, the mass of the particle, and the presence of friction or other external forces. These factors can cause changes in the particle's motion and affect its velocity and acceleration.

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