Velocity and position of electron

AI Thread Summary
The position of the electron is defined by the equation R = 3t i + 4t^2 j + 2k. The x-component of the velocity is 3, the y-component is 8t, and the z-component is 0. To find the speed, the magnitude of the velocity vector is calculated as the square root of the sum of the squares of its components. The angle with the positive x-axis can be determined using the inverse tangent of the ratio of the y-component to the x-component. The discussion emphasizes the importance of correctly calculating speed and angles based on the velocity components.
tjbateh
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Homework Statement



An electron's position is given by R= 3t i + 4t^2 j + 2k, where t is in seconds and R is in meters. What are the (a) x-, (b) y- and (c) z-components of the electron's velocity? (d) What is the electron's speed? (e) What angle does the electron's velocity make with positive x-axis? Give all answers as appropriate functions of time.

Homework Equations





The Attempt at a Solution


So far, I have the
x-component = 3
y-component= 8t
z-component= 0

I have no idea how to find the speed, of the angle it makes. For the speed I put 3 + 8t, and it was wrong. I have one more try at the problem.
 
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Speed is just the magnitude of the velocity (I.e. velocity without the direction part).

You have the components of the velocity vector how would you normally find the angle?
 


Ok so are you saying the speed is equal to 3^2 + 8^2...then take the square root of that??

And the angle is inverse tan of 8/3?
 
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