Question

Please find the following for the required problem attached :

1- Motion diagram with coordinate axis

2- positive Vs. time graph

3- velocity Vs. time graph (well labeled)

4- find the total distance and time for the entire play and explain how this was determined (In a clear handwriting please).

5- Show mathematical work with the proper equations to calculate anything and everything of interest including how long was the entire play.

Thanks

Quarterback Bill throws the ball to the right at a speed of 15 m/s. It is intercepted 45 m away by Carlos, who is running to the left at 7.5 m/s, Carlos carries the ball 60 m to score. Let x = 0 m be the point where Bill throws the ball. Draw the position vs. time graph for the football.

Answer 1

u IS Y 16.77 , 16777 Syekt 91 = low 2 DAN solution het Bill throw the ball from pornit o (x20) with velocity ismis, that is intercepted by Carlos who is running with velocity 7.5m/s to the left of the motion of the ball, Carlos chit/intercept the ball at pont A and takes it up to point B. The v in motion diagram of the ball is shown in Fig.(1). 75 mis when Carlos intercept the ball its velocity becomes to v=565) ²+(7.57 = 16.77 m/s at angle o= tant (tos) = tan (1) with the richial direction. Next bom ball covers in t= bo = 3.58 seconds. for Time from oto A = 45 = 3 seconds. 1 co-ordinates Peñe froon AloB = 60 = 3.58 4 seconds 0(0,0) 2- The position time graph of the motion 1 A( 45,0) B (98.66, 26.83) 1. is shown in Fig. (22 10 Bill . Carlosse Ni= 15m/S OA= 45m, time - 35 g O = 45+66 +2x45x60 45m - Xciso - Fig. (1) . OB = 102 m 2= 3.58 245 45 3. The velouty time o 36-585 Times) graph is showin | 16.77 m/s Fig. (3) figo (3) 315 Velouty o to 3 sec = 15m/s Velocely 3 to 3-58 se = 16:473015 0 3 658 Time(s) 40 Total distance for entire play s= BAT AB = 45+ 60=105m Total time of play as calculated above †= 3+3.558= 6:58 seconds. 5 the calculations are shown above in parts 1, 2, 3, and 4. J Ses Timecss o Fig. (2) L-