Math In Basketball Lesson Page 26
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31Answer Key
Math in Basketball: Try other challenges
h
= 6’ and v
= 24 ft/sec
0
0
2
h(t) = -16t
+ 24t + 6
At what times (in sec) does the ball reach 10 feet? t = 0.19
t = 1.31
At what time does the ball reach its maximum height?
t = 0.75 (or ¾ sec)
Maximum height = 15 feet
______________________________________________________________________________
h
= 8’ and v
= 20 ft/sec
0
0
2
h(t) = -16t
+ 20t + 8
At what times (in sec) does the ball reach 10 feet? t = 0.11
t = 1.14
At what time does the ball reach its maximum height?
t = 0.63 (or 5/8 sec)
Maximum height = 14.25 feet
h
= 8’ and v
= 22 ft/sec
0
0
2
h(t) = -16t
+ 22t + 8
At what times (in sec) does the ball reach 10 feet? t = 0.10
t = 1.28
At what time does the ball reach its maximum height?
t = 0. 69 (or 11/16 sec)
Maximum height = 15.56 feet
h
= 8’ and v
= 24 ft/sec
0
0
2
h(t) = -16t
+ 24t + 8
At what times (in sec) does the ball reach 10 feet? t = 0.09
t = 1.41
At what time does the ball reach its maximum height?
t = 0.75 (or ¾ sec)
Maximum height = 17 feet
FAST BREAK FACTS
THE 3 KEY VARIABLES
•
The Acceleration of Gravity – which causes a ball to speed up, or accelerate, when
2
2
2
falling at a rate of -32ft/sec
. Use only downward pull or half of -32ft/sec
, which is -16t
.
• Initial Upward Velocity (v
) - the angle and speed when it leaves the player’s hand.
0
Multiply by time to get the vertical distance traveled.
• Release Height (h
) - the starting position of the ball.
0
PLAYER’S STATS (Select one of each)
Initial Upward Velocity: ___ 20 ft/sec ___ 22 ft/sec ___ 24 ft/sec
Release Height:
___ 5 ft ___ 6 ft ___ 8 ft
STANDARD COURT MEASUREMENTS
Height of the basketball hoop off the floor:
10 ft
Distance from the free throw line to backboard
15 ft
Diameter of hoop/rim
18 in
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education