Newtonian Mechanics : Rectillinear Motion of a Particle

[Fia Ismi Nur Alfiah]

Homework Statement

Find the velocity ± and the position x as functions of the time t for a particle of mass m, which starts from rest at x =0 and t =0, subject to the following force functions:
(a) Fx = F0 + Ct
(b) Fx = F0 sin Ct Ct
(c) Fx = F0e^ct
where F0 and c are positive constants.

Homework Equations

The Attempt at a Solution

 

[haruspex]

You cannot integrate t with respect to x until you know what t is as a function of x.
I am not sure why you want to integrate wrt x anyway. What else can you do?
By the way, your typed notation is a bit confusing. You mean F_x=F₀+Ct. I.e. F subscript x, not F times x.

 

[Fia Ismi Nur Alfiah]

You cannot integrate t with respect to x until you know what t is as a function of x.
I am not sure why you want to integrate wrt x anyway. What else can you do?
By the way, your typed notation is a bit confusing. You mean F_x=F₀+Ct. I.e. F subscript x, not F times x.

I have checked my homework, how about my answer here?

 

[haruspex]

You made a mistake in the final step in both a and b.
(In post #1 for part b you specified the force as F₀sin Ct Ct. i assume the second Ct was a typo.)