anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
at wht angle to the ground is the ball kicked?
amistre64
  • amistre64
the angle doesnt matter..... just gotta use the gravity formula... -16t o something
amistre64
  • amistre64
asuume straight if anything :)

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amistre64
  • amistre64
striaght up... that is
anonymous
  • anonymous
v=gt t=v/g=4.2seconds s=1/2gt^2=5*4.2^2=88.2feet
myininaya
  • myininaya
http://www.purplemath.com/modules/quadprob.htm i think this site is helpful for writing formula for velocity
myininaya
  • myininaya
or i mean height of the ball
myininaya
  • myininaya
s(t)=-16t^2+42t+0
amistre64
  • amistre64
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
myininaya
  • myininaya
s'(t)=-32t+42 s'(t)=0 when -32t+42=0 so t=42/32=21/16
myininaya
  • myininaya
lol
amistre64
  • amistre64
s(t) = -16(1.3125^2) + 42(1.3125) = 27.5625 :) maybe
myininaya
  • myininaya
k i agree with amistre
amistre64
  • amistre64
yay!!.... if great minds think alike; what does that leave for idiots lol
myininaya
  • myininaya
we got something way different from that other guy
amistre64
  • amistre64
he mighta used the 4.9 meters thing
myininaya
  • myininaya
ok in this is in feet
myininaya
  • myininaya
so maybe
anonymous
  • anonymous
hello all. equation is \[42t-16t^2\] max is when \[t=\frac{-b}{2a}=\frac{21}{16}\] \[42\times \frac{21}{16} -16\times(\frac{21}{16})^2=\frac{441}{16}\]
myininaya
  • myininaya
we already win :)
anonymous
  • anonymous
;)
amistre64
  • amistre64
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
anonymous
  • anonymous
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
amistre64
  • amistre64
i did just casue I can :)
myininaya
  • myininaya
right satelitle! derivatives are just more fun!
anonymous
  • anonymous
i spose but after getting \[\frac{-b}{2a}\]for the 100th time maybe not.
myininaya
  • myininaya
i like doing more math than i need to because its just fun lol
amistre64
  • amistre64
more fun; less mechanical ;)
anonymous
  • anonymous
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.
myininaya
  • myininaya
omg i would love to kill a fly with a grenade how is that not fun
anonymous
  • anonymous
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.
myininaya
  • myininaya
lol ok you do that :)
myininaya
  • myininaya
i might do it both ways just to show both ways and to do more MATH
anonymous
  • anonymous
what i need to do is get back to my own work but somehow i keep coming here.
amistre64
  • amistre64
i know right; it worse than cocaine in here lol

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