Question

You are the head special team's coach of the Kansas City Chiefs and are playing the New England Patriots in the AFC title game. The game is tied with 3 seconds left on the clock. Head Coach Andy Reid comes and ask you if you think the kicker can make the field goal and if New England will have a chance to score afterwards. You know the kicker has enough power in his leg that he can kicka ball with a maximum velocity of 22 m/s. And you know that the optimal angle that he will need to kick the ball for the maximum range is 45 degrees. To explain what you would tell Coach Reid answer the following questions below. (Neglect air resistance, and round all of your answer to 4 significant digits) Part 1. What is the initial horizontal velocity (velocity in the x direction) of the ball when kicked? m/s Part 2. How long does it take the ball to reach its maximum height from ground, and what is the maximum height that the ball reaches from the ground? Time: Height: m Part 3. If the field goal post is 3.05 m tall and is 45 m away from where the ball will be kicked from? Would the kicker make the field goal? (type Yes or No only in the boxes) Will there be any time left on the clock for New England to score? (Clock doesn't stop until the ball hits the ground) Part 4. What was the magnitude of the final velocity of the ball right before it hit the ground? m/s

Answer 1

Application of theory of projectile motion

Pant Sitial harizantal velocity 2 5.556 m/s 15 56 m /s (4nawer) Pant 2 (t urinb Time takn 2 2 x n 45 t 2 / 2 15 5 8 (Ansner 586 5 uight Maaimum H2 2in 45 2 x98 z 2. 334 12 3 3 Pant 3 Trayectr of the kiceed al i 9 81 45 2x 2.2xCar456 For (tt height of e gonlport 2 4S 3 05 m 3.956 Yer 2u nim 45 Awswen 1 8.6 Time o tignt of the T2 2 2 X 22 2in 4s 981 s(th time teft 2 3 172 S Anncr N O magnitinde of tinal velocit kepane an itude af preetion Pant 4 tnits the /stne in no ain fricti (A

to mappen Far tte I 6 2x 22 o4s tim 15 X 3.05 3.05 02027 2 0 020 2. 72 2- 4x 0.020 27 X 3.0S 2 2 X 0.020 27 1 o8675 9 O040S 4 1 +- 0 86 759 0 090S 4 diatanee manimu 2 46 07 m (Auin