A uniform electric field E is directed along the y axis between parallel plated

Question

A uniform electric field E is directed along the y axis between parallel plated of charge seperated by a distance d as shown in the figure. A positive charge q of mass m is released from rest at a point next to the positive plate and accelerated to a point next to the negative plate.
a.) Find the speed of the particle at the modeling it as a particle under constant acceleration.
b.) Find the speed of the particle after travelling for 5 seconds.
c.) Determine how far the particle travels in 5 seconds.

Explanation / Answer

using force on charge is F = q*E

but Force is F = m*a

m*a = q*E

accelaration is a = (q*E)/m

initial speed is Vo = 0 m/s

distance travelled is s = d

then

V^2 - Vo^2 = 2*a*S

V^2 - 0^2 = 2*(qE/m)*d

V = sqrt(2qEd/m)

b) speed after t = 5 sec is

V = Vo+(a*t)

V = 0+(sqrt(2qEd/m)*5)

V = 5*sqrt(2qEd/m)

C) S = (Vo*t)+90.5*a*t^2)

S = (0*t)+(0.5*sqrt(2qEd/m)*5^2)

S = 12.5*sqrt(2qEd/m)

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