' 5342 AI~ Success /~ " lesson 37: Quadratic Equations - Word Probiems '. SJ --- ~ I 111(...16 112.?YJ Directions: Complete the following SOLVE problem with your teacher. You will only complete the S step. A baseball was hit at a height of 3 feet off the ground with an initial ve.locity of 64 ~ feet per second. If t represents the time in seconds, and y re resents the Ig t 14. in feet, the height of the ball using the equation y = -16t 2 + reached? can 64t S Underline the question. This problem is asking me to fin.d be determined + 3. What is.do~=<rad1;qe..cf' IJ~ ' ove maxi.. ed m ei period, of time to ht that the ball Directions: Discuss the problem and graph below with 'yo~'r te cher. ~ The graph below represents the relationship between the qro.e, in seconds, after a projectile is propelled ve rica t' II y. In t 0 th. d th h. ~n feet, that it reaches. an 900 ~ POD y 5" e " ei~ ~I N tx.!iv 1 1'0.. ~ V / _'1"drl,., V ""'I ~ / ~ '} I'--- W ~ 600 '500 f. 'f...c A. 0 IW OJ 400 11 I 300 / 200 1/ (J 1 m ~ I. ' 1.--< '"' II ~ V '_ V 2 i.--tr- 8 I- IT ) f2-14 l ' ~ ( Tif!1e (in seconds) 1,)',./ '-- 1. What is th~m_eight of the projectile? &M 2. What is the height of the project;le af 4y 'conds? 1sf2M 3. What is the maximum height the projectile reaches? ~..(eej 4. What is the amount oftime it takes the projectile to reach its maximum heighfe.~j 5. From the time the projectile has b ~ en fired, how long does it take the projectile. to hit the ground? ICO SfffiyttS
Algebra Success 5343 LESSON 37: Quadratic Equations - A!ord Problems (. Example 1: The height (h) in feet of a rock falling from a height of 80 feet f ~effia - can be found using the equation h = -16t 2 + 80. What is t height after 2 seconds? 5 Underline the question.. hti hfii ~affe 2, o Identify the facts. Write in words what your plan of action will be. E Does your answer make sense? (Compare your.answer to the question.) Is your answer reasonable? (Compare your answer to the estimate.) Is your answer accurate? (Check your work.) Write your answer in a complete sentence.
5344 LESSON 37: Quadratic Equations - War Exa m ple 2: Tyrone built a model rocket for his science project. The equati models the flight of the rocket, launched from ground level at a velocity 0 feet per second, where h is the height of the rocket in feet after t seconds. How long does it take the rocket to hit the ground?" 5 Underline the question. I~ 11.' l0r4 ~ h+q,'if)und This problem is asking me to find o.uw l X-;'~, o Identify the facts. FiAd ~ts'l jilcto,e Write in words what your plan of action will be. I~.t5 Secords ~I tot~2wf,;;:q.-4-t(4t-fos) ~ co =Y!VO F~~ r"<l~ +0 s61ve. -4t- ~(9 +-d1 4t:ro5 ~ t~ t -t:::!&. 1--5 E Does your answer make,sense? (Compare your answer to the question.) Is your answer reasonable? (Compare your answer to the estimate.) Is your answer accurate? (Check your work.) Write your answer in a complete sentence.
T922 Algebra Success Lt:SSON 37: Quadratic Equations - W ord Problems Exam ple 3: ~~~ ~ 3 A baseball was hit at a height of 3 feet or! the ground with an initial velocity of 64 feet per second. If t represents the time in seconds, and represents the height in feet, the height of the ball can be determined Er er a limited period of time using the equation y = : 16t 2 + 64t ':y. What is ffilj.m height that the ball reached?,, S Underline the question. This problem is asking me to find o Identify the facts. ~ '3 Write in words what your plan of action will be. Mv 'll J. I I f f r / tl1fi-.-. OJCLLU rt,.. ~rr:r6_ III W---.,1-~{)1rd ~ ( In* LtJ ', I t~ J'ffil~ ~ MS >(==- ZtL ~uv. [db dvljlrtj. 2- RJ( f) 10 t:;j Y y~ ~(&t -r(pttt3. 0..'/ -flo. - {64t :f1 kj5 b;: (04 telfo' -3~ '(-;. L C= 3 '). _{{ri'1)ltgl1.h~ M E Does your answer make sense? (Compare your answ~~a he q J~ ~b ~ :-( Is your answer reasonable? (Compare your answer to the stimate.) Is your answer acc~rate? (Check your work.) Wnte your answer In a complete sentence. -1&(4 t JW +)
5346 Alg ebra Success LESSON 37: Quadratic Equations - VVord Problems An arch is built so that it has the shape of a parabola with the equation y = -3x 2 + 9x, where y represents the height of the arch in feet, and x represents the len of the arch in feet. What is the maximum height of the arch? 5 Underline the question. Th is probie m is ask i ng me to fi n d -.4.-...Y:.-~---L...-~~-=------,~-'f--A---r~o Identify the facts. ~'-== -31-+01 ~ A,-r /- ::-h. Write in words what your plan of action will be..f1o) x... 60- ~--3. Z.o s 0:q ~ (q ) 11 x<t. c-~f9.. ~ J,.. ~ r?!jpq(5. -3(*+ ~ E Does your answer make sense? (Compare your answer to the qu ~~ lah.) Is your answer reasonable? (Compare your answer to the estimate.) 3!i Is your answer accurate? (Check your work.).' _1,,1 -{ Write your answer in a complete sentence.. ~ ~ ~ ~1r? ~1zk,y
Algebra Success 5347 LESSON 31: Quadratic Equations - Word Problems Directions: Use the following scenario to complete Problems 1-3. A football is kicked upward from ground level with _an initial velocity6 feet ; r.-"> second. Its path is represented by the equation y = 16t 2 + 32t, where t is measured in seconds. 1. What is t e maximum height reached by the footb II? - 2. After how many seconds is the football at its maximum height?,4os x. ~ -=- b - 20 1;: -(W'l-t3tt I " 1 CA~-llo - L L b?-~ L~(9 3. How long does it take the ZC) ootball to return to the ground? 1I~ ~ (1-;- -~ e--t'32± Q~
'=;348 LESSON 37: Quadratic Equations - Word Problems ni~a4c:, Directions: Use the following scenario to complete Problems 4-6. ~~ A tennis ball is struck initially at a height of 4 feet above ground. The path of the ball is modeled by the equation y = -16t 2 + 64t + 4, where t is measured in seconds. 4. What is the heig ht of the ball after 1 second? 5. What is the maximum height of the ball? 6. How many seconds does it take the ball to reach its maximum height?