Easy-acceleration with unit vectors

[PEZenfuego]

Homework Statement

r1=(0m)
r2=(2000i + 1000j)m
v1=(200j)m/s
v2=(200i-100j)m/s

Homework Equations

tantheta=vy/vx

v2^2=v1^2+2ax
v2=v1+at
x2=x1+v1t+1/2at^2

The Attempt at a Solution

Thank you for any help

 

[Draco27]

So what do we have to find??

 

[PEZenfuego]

find the saucer's acceleration in unit vectors and in terms of magnitude and direction.

 

[SammyS]

Homework Statement

View attachment 50618

r1=(0m)
r2=(2000i + 1000j)m
v1=(200j)m/s
v2=(200i-100j)m/s

Homework Equations

tantheta=vy/vx

v2^2=v1^2+2ax
v2=v1+at
x2=x1+v1t+1/2at^2

The Attempt at a Solution

View attachment 50617

Thank you for any help

Are those kinematic equations for components of vectors, or for vectors themselves?

 

[PEZenfuego]

Are those kinematic equations for components of vectors, or for vectors themselves?

If you click the first picture, you will have an understanding equal to mine. I'm sorry.

 

[SammyS]

If you click the first picture, you will have an understanding equal to mine. I'm sorry.

Sorry for the slow response.

I should have been more direct with my earlier response.

The set of kinematic equations you have

(v2)²=(v1)²+2ax
(v2)=(v1)+at
x2=x1+(v1)t+1/2at²​

are valid for each component of displacement, velocity, and acceleration.

So you have two such sets of kinematic equations:

(v2)_x² = (v1)_x² + 2a_xx
(v2)_x = (v1)_x + a_xt
x2 = x1 + (v1)_xt + 1/2a_xt²

(v2)_y² = (v1)_y² + 2a_yy
(v2)_y = (v1)_y + a_yt
y2 = y1 + (v1)_yt + 1/2a_yt²
​

 

[PEZenfuego]

Sorry for the slow response.

I should have been more direct with my earlier response.

The set of kinematic equations you have

(v2)²=(v1)²+2ax
(v2)=(v1)+at
x2=x1+(v1)t+1/2at²​

are valid for each component of displacement, velocity, and acceleration.

So you have two such sets of kinematic equations:

(v2)_x² = (v1)_x² + 2a_xx
(v2)_x = (v1)_x + a_xt
x2 = x1 + (v1)_xt + 1/2a_xt²

(v2)_y² = (v1)_y² + 2a_yy
(v2)_y = (v1)_y + a_yt
y2 = y1 + (v1)_yt + 1/2a_yt²
​

It makes sense now. thank you.

 

[SammyS]

It makes sense now. thank you.

What did you get for answers?