Solving Rectilinear Motion: Find Velocity & Position

[.~!@#]

Homework Statement

Find velocity and position as functions of time t for a particle of mass m, which starts from rest at x=t=0, subject to the following force functions.

a) F=Fosin(ct)

Homework Equations

F=ma

The Attempt at a Solution

a) a=Fosin(ct)/m

dv/dt = Fosin(ct)/m

∫dv = ∫Fosin(ct)/m dt

v = -Fo(cos(ct))/mc

integrate again

x+ Fo(sin(ct))/(mc^2)


This solutions manual says the answer is
v=(Fo/cm)(1-cos(ct)
x=(Fo/mc^2)(ct-sin(ct))

 

[Pagan Harpoon]

Look at your expression for v(t), remember that you want it to be at rest at t=0.

 

[.~!@#]

I understand now, thanks