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PEZenfuego
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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
Are those kinematic equations for components of vectors, or for vectors themselves?PEZenfuego said: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
SammyS said:Are those kinematic equations for components of vectors, or for vectors themselves?
Sorry for the slow response.PEZenfuego said:If you click the first picture, you will have an understanding equal to mine. I'm sorry.
SammyS said: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+2axare valid for each component of displacement, velocity, and acceleration.
(v2)=(v1)+at
x2=x1+(v1)t+1/2at2
So you have two such sets of kinematic equations:(v2)x2 = (v1)x2 + 2axx
(v2)x = (v1)x + axt
x2 = x1 + (v1)xt + 1/2axt2
(v2)y2 = (v1)y2 + 2ayy
(v2)y = (v1)y + ayt
y2 = y1 + (v1)yt + 1/2ayt2
What did you get for answers?PEZenfuego said:It makes sense now. thank you.
Unit vectors are vectors that have a magnitude of 1 and are used to indicate the direction of a vector. They are commonly denoted by the symbol "i", "j", or "k" in three-dimensional coordinate systems.
Unit vectors are used in easy-acceleration to break down a vector into its individual components in order to simplify the calculations involved in acceleration. By using unit vectors, the acceleration of an object can be easily determined in each direction.
The formula for easy-acceleration with unit vectors is a = axi + ayj + azk, where a is the acceleration vector and ax, ay, and az are the components of acceleration in the x, y, and z directions, respectively.
To find the components of acceleration using unit vectors, you first need to determine the direction of the acceleration vector. Then, using trigonometric functions, you can calculate the magnitude and direction of the components of acceleration in each direction.
Easy-acceleration with unit vectors is commonly used in fields such as engineering, physics, and mechanics. It can be applied to various real-world scenarios, such as calculating the acceleration of a car on a curved road or determining the forces acting on an airplane during takeoff and landing.