Question

Arianna kicks a soccer ball off the ground and into the air with an initial velocity of 42 feet per second. Assume the starting height of the ball is 0 feet. Approximately what maximum height does the soccer ball reach?

Answer 1

at wht angle to the ground is the ball kicked?

Answer 2

the angle doesnt matter..... just gotta use the gravity formula... -16t o something

Answer 3

asuume straight if anything :)

Answer 4

striaght up... that is

Answer 5

v=gt
t=v/g=4.2seconds
s=1/2gt^2=5*4.2^2=88.2feet

Answer 6

http://www.purplemath.com/modules/quadprob.htm
i think this site is helpful for writing formula for velocity

Answer 7

or i mean height of the ball

Answer 8

s(t)=-16t^2+42t+0

Answer 9

s(t) = –G t^2 + V0(t) + H0

Vo = 42 ; H0 = 0; G = 16

s(t) = -16t^2 + 42t

s'(t) = -32t + 42 = 0 at 42/32 = 21/16 = 1.3125

Answer 10

s'(t)=-32t+42
s'(t)=0 when -32t+42=0 so t=42/32=21/16

Answer 11

lol

Answer 12

s(t) = -16(1.3125^2) + 42(1.3125) = 27.5625 :) maybe

Answer 13

k i agree with amistre

Answer 14

yay!!.... if great minds think alike; what does that leave for idiots lol

Answer 15

we got something way different from that other guy

Answer 16

he mighta used the 4.9 meters thing

Answer 17

ok in this is in feet

Answer 18

so maybe

Answer 19

hello all. equation is \[42t-16t^2\]
max is when \[t=\frac{-b}{2a}=\frac{21}{16}\]
\[42\times \frac{21}{16} -16\times(\frac{21}{16})^2=\frac{441}{16}\]

Answer 20

we already win :)

Answer 21

;)

Answer 22

yay!!! now if we can only determine that we are not a consensus of fools; I for one have my doubts since I am in it lol

Answer 23

btw you have to use \[h=h_0+v_0t-16t^2\] because you are working in feet. and you don't need calc to find the vertex of a parabola, although you can

Answer 24

i did just casue I can :)

Answer 25

right satelitle! derivatives are just more fun!

Answer 26

i spose but after getting \[\frac{-b}{2a}\]for the 100th time maybe not.

Answer 27

i like doing more math than i need to
because its just fun
lol

Answer 28

more fun; less mechanical ;)

Answer 29

on the other hand sometime it is silly to kill a fly with a grenade. you can get the vertex by simple algebra, completing the square or something.

Answer 30

omg i would love to kill a fly with a grenade
how is that not fun

Answer 31

so not to be argumentative but i would not consider taking the derivative, setting to 0 and solving more or less mechanical than computing the vertex.

Answer 32

lol ok you do that :)

Answer 33

i might do it both ways just to show both ways and to do more MATH

Answer 34

what i need to do is get back to my own work but somehow i keep coming here.

Answer 35

i know right; it worse than cocaine in here lol