please solve 12.13 using matlab code.

EXAMPLE 112.13 25 t/s from the horizontal. high, A the chips strike the pile if at this instant they The track for this racing event was designed so that riders jump off the slope at 30, from a height of I m. During a race it was observed that the rider shown in Fig 12-23a remained in mid air for 1.5 s. Determine the speed at which he was traveling off the ramp, the horizontal distance he travels before striking the ground, and the maximum height he attains. Neglect the size of the bike and rider The chipping machine is desioned to eject wood chips at o the tube isricated at as shown in Fig 12-2 determine how land on the pile 20 t from the tuhe SOLUTION Coordinate System. As shown in Fig. 12-23b, the origin of t coordinates is the three unknowns are the initial speed v. range R, and the vertical component of velocity (n), Vertical Motion. Since the time of flight and the vertical distance between the ends of the path are known, we can determine v Fg.12-22 30 SOLUTION Coardinate System. When the motion is analyzed between points O and A, the three unknowns are the height h, time of flight fos, and vertical compunent of the origin of aoondinates at o, Fig 12-22, the initial velocity of a chip has components of velocity (e Note that (o)] With n t (bi -1 m-0+ v sin 30s) +-9.81 m/s 115s cool." (25 cos 30"> ft/s 21.65 ft/s-, Fig. 12-23 13.38 m/s 13.4 m/s Ans Horizontal Motion. The range R can now be determined Also,( 2165 t/s and ,-322 t/s. Since we do not need to determine (Raly, we have R 0+13.38 cos 30 m/s(1.5s) 17.4 nm Harizontal Motion Ans In order to find the maximum height h we will consider the path AC Fig. 12-23b. Here the three unknowns are the time of flight c, the horizontal distance from A to C, and the height h. Ai the maximum height (vcl, 0, and since va is known, we can determine h directly 0.9238s Vertical Motion. chip, we have Relasing fos to the initial and final clevations of a without considering lac using the following equation o- (13.38 sin 30P m/s)+ 2(-981 m/s>h 1m)-0) 3.28 m NOTE: Show that the bike will strike the ground at B with a velocity having components of NOTE: We can determine ( by using ( Sol, +aJos (p), 11.6 m/s(),8.02 m/s