1.) A ball is rolling from a table with a height of h measured from the ground. The equations of the vertical motion are m-+d fall x= =-m.g Therein m is the mass of the ball, dfall is the drag coefficient and g is the gravitational constant. The position over ground is measured by the coordinate x. Complete the initial value problem. 2.) When the ball of problem 1.) hits the ground, the equations of motion during the contact phase are modelled by m-+d.x+c x=-m.g m.g d Fall x>0 .ro 2 we I d Register No.: Therein d is is the damping coefficient during the contact phase and c models the stiffness during the contact phase. Design a Simulink-block-diagram in which the flight phase (x>0) as well as the contact phase (x0). In the model it is assumed that only the two modelled species interact and that there is an infinite food resource for the prey. However, the only food resource for the predators is assumed to be the prey. ii = Ox - Ux1X2 2 = -EX2 + WX1X2 Linearize the system given above about x = (2]. (8 points) 1.) A ball is rolling from a table with a height of h measured from the ground. The equations of the vertical motion are m-+d fall x= =-m.g Therein m is the mass of the ball, dfall is the drag coefficient and g is the gravitational constant. The position over ground is measured by the coordinate x. Complete the initial value problem. 2.) When the ball of problem 1.) hits the ground, the equations of motion during the contact phase are modelled by m-+d.x+c x=-m.g m.g d Fall x>0 .ro 2 we I d Register No.: Therein d is is the damping coefficient during the contact phase and c models the stiffness during the contact phase. Design a Simulink-block-diagram in which the flight phase (x>0) as well as the contact phase (x0). In the model it is assumed that only the two modelled species interact and that there is an infinite food resource for the prey. However, the only food resource for the predators is assumed to be the prey. ii = Ox - Ux1X2 2 = -EX2 + WX1X2 Linearize the system given above about x = (2]. (8 points)