*** SOLVE USING MATLAB ***

Problem 2 A ball thrown up falls back to the floor and bounces many times. For a ball thrown up in the direction shown in the figure, position of the ball as a function of time is given by: the The velocities in the x and y directions are constants throughout the motion and are given byo sin ()cosa) and ysin ()sin(a). In the vertical z direc- tion the initial velocity is v, = cos(9), and when the ball impacts the floor its 5 rebound velocity is 0.8 of the vertical velocity at the start of the previous bounce. 1 The time between bounces is given by 4-( ponent of the velocity at the start of the bounce. Make a 3-D plot (shown in the figure) that shows the trajectory of the ball during the first five bounces. Take vo = 20 m/s, = 30, = 25, and g 9.81 m/s2 100 100 (m) y(m) 50 50 2%)/g, where v, is the vertical com