How to Determine Velocity and Acceleration from Position?

[Fia Ismi Nur Alfiah]

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

 

[Orodruin]

Please show your actual work.

 

[Fia Ismi Nur Alfiah]

Please show your actual work.

It's my homework, number of 1.21

 

[Orodruin]

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.

 

[Fia Ismi Nur Alfiah]

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

 

[Fia Ismi Nur Alfiah]

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

 

[haruspex]

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?

 

[Fia Ismi Nur Alfiah]

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

 

[haruspex]

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.

 

[Fia Ismi Nur Alfiah]

i and j definitely indicate a Cartesian system.

Okay, thank you [emoji4]

Sent from my Andromax A26C4H using Physics Forums mobile app

 

[Fia Ismi Nur Alfiah]

i and j definitely indicate a Cartesian system.

How about with my sketch? Like this or no?