Point charges in a electric field

[Malgrif]

Homework Statement

Two large parallel copper plates are 5.0cm apart and have a uniform electric field between them. An electron is released from the negative plate at the same time that a proton is released is released from the positive plate. neglect the force the particles have on each other and find their distance from the positive plate when they pass each other.

Homework Equations

d=.5at₂ + v₀t²
f=ma
f=Eq

The Attempt at a Solution

i began by finding the electron's and protons acceleration in terms of E by equating f = ma and f = E/q. after which i made two displacement functions and equated the time that they intersect to be equal. the equations were

for the proton
d=.5a_pt²

for the electron
d+0.05=.5a_et²

after equating .5t^2 and solving i obtained,
d=0.0595m the answer is d=2.7*10^-5m

i can't seem to find my error, any help is appreciated. thanks.

EDIT: NVM I GOT THE RIGHT ANSWER. I ACCIDENTLY USED 1.602*10^-16 FOR THE ELEMENTARY CHARGE ON MY FIRST ATTEMPT LOL.

 

[anathema]

Great job on finding your mistake! It's always important to double check your calculations and make sure you are using the correct values for your variables. Keep up the good work!