What is the solution to this electron motion problem?

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SUMMARY

The discussion focuses on solving a physics problem involving the motion of an electron under constant acceleration in the xy plane. Given initial conditions of an electron traveling with a velocity of 1.95 x 107 m/s, and acceleration components ax = 8.04 x 1014 m/s2 and ay = 1.52 x 1015 m/s2, participants aimed to determine the electron's position, velocity, speed, and direction at x = d = 0.0100 m. The use of kinematic equations was emphasized, particularly the calculation of time using t = d/v and the angle of travel using θ = arctan(Ay/Ax).

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Homework Statement


As an example of the manipulation of an electron beam, consider an electron traveling away from the origin along the x-axis in the xy plane with initial velocity v = vi. As it passes through the region x = 0 to x = d, the electron experiences acceleration a = ax + ay, where ax and ay are constants. For the case vi = 1.95 107 m/s, ax = 8.04 1014 m/s2, and ay = 1.52 1015 m/s2, determine the following, at x = d = 0.0100 m.




Homework Equations


(a) the position of the electron
yf = m
(b) the velocity of the electron
vf = m/s + m/s
(c) the speed of the electron
|vf| = m/s
(d) the direction of travel of the electron (i.e. the angle between its velocity and the x axis)
= °

The Attempt at a Solution


for this problem i used the kinematic equation and manipulated them and didnt get the right answers..i am a bio major, not a physics major, why do i have to learn this! please somebody help!
 
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Please show us HOW you used the kinematics equations... then we can better help you.
 
well, for a) i found t by using t=d/v and got 5.13E-10 s. i found theta by arctan Ay/Ax and i got 27.9 degrees. so then i used yf=yi+(V_yi)t-.5(9.80)t^2 to find the yf and i got 4.67E-3 and it was wrong.

for b)i found the velocity unit vectors and i got it wrong. i did Vxi= Vi(cos27.9) and Vyi= vi(sin27.9)... so i couldn't go on to c and d
 

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