2. A time-dependent, one-dimensional force acts on a particle of mass m in the +x direction according to F(t) = F₁ (²) e-t/bg, Fo where Fo and b are positive constants. At time t = 0, the particle is located at the origin and is moving with a velocity = vox, where vo is a positive constant. (a) Determine the velocity of the particle for t > 0. Hint: Consider integration by parts. (b) As too, what happens to the velocity? (c) Determine the position of the particle for t > 0.

2. A time-dependent, one-dimensional force acts on a particle of mass m in the +x direction according to F(t) = F₁ (²) e-t/bg, Fo where Fo and b are positive constants. At time t = 0, the particle is located at the origin and is moving with a velocity = vox, where vo is a positive constant. (a) Determine the velocity of the particle for t > 0. Hint: Consider integration by parts. (b) As too, what happens to the velocity? (c) Determine the position of the particle for t > 0.