Problem 1: A ball of mass 2.0 kg is rolling on the ground with velocity (0, 0, 1.5) m/s when you kick it. Your kick delivers an impulse (change in momentum) 4 N. s in the -x direction. The net force on the rolling ball, due to the grass and air, is 2.5 N in the direction opposite to the direction of the ball's momentum. In this problem the y-dimension is a vertical and x-z plane is the locally flatsurface of the earth.
Using a time step of 0.5 seconds, find the position of the ball 1 second after you kick it, assuming that the ball is at the origin at the moment it was kicked.
HINT: To solve this problem you will need to consider...
1. First, the effect of the kick alone at $t = 0$.
2. Then, the effect of the force due to the grass and air at $t > 0$