Épreuve de setion européenne
1 General knowledge
Give a fewexamplesof randomexperimentsand probabilitydistributions.
2 Doument
The Golf shot
Theheight(infeet)abovethegroundofagolfballdependsonthetime
t
(inseonds) it has been in ight. A golfer has hit a shot o the tee that has a height givenapproximately by
h ( t ) = 80 t − 16 t 2 .
3 Questions
1. Sketh agraph of this funtionon a oordinate graph alike thisone.
0 1 2 3 4 5 6
0 20 40 60 80 100 120
time in seonds height in feet
2. Answer the following questions :
a. Whattime doesthe golfball landon the ground?
b. Whatis the maximum height of theball?
. Howlongafterit ishitdoesthe ball reah thisheight?
d. At what time isthe ball rst60 feetin the air?
e. Isit 60feet highaseond time?If so,when?
3. Supposethatthe samegolfer hitaseondballfroma teethatwaselevated20
feetabove the fairway.
a. Write anew funtion thatdesribesthe new path ofthe ball.
b. Sketh the graph ofthis new funtionon the same oordinate graph.
. Whattime willthe seond golfball landonthe ground?
From MathematialAssessment,by W.E.Campbell,NCTM.