Determine the final velocities of the disks a and b after

Question

Question 1:

A 6 pound particle has following forces applied to it (the force are in pounds):

F₁ = (2i+ 6j - 2tk)

F₂ = (t²i - 4tj - 1k)

F₃ = (-2ti)
If the particle is released from rest at the origin, where will it be In 2 seconds?

Question 2:

Two disks moving on a frictionless surface collide as shown below. Angle A is 30 degrees, Angle B is 45 degrees. The velocity of A is 3m/s the velocity of B is 1m/s. The coefficient of restitution for the disks is 0.72, determine the final velocities of the disks, A and B, after the collision in both the x and y direction.

Question 3:

A 10 kg ball is fired straight up (z direction) with an initial velocity of 50m/s determine the maximum height it will travel of atmospherics resistance is neglected. Extra Credit: determine the maximum height if the atmospheric resistance is F = (0.01"v^2) N with v being the instantaneous velocity of the ball, measured in m/s.