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?

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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
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at wht angle to the ground is the ball kicked?
the angle doesnt matter..... just gotta use the gravity formula... -16t o something
asuume straight if anything :)

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Other answers:

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

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