Question

Frank kicks a soccer ball off the ground and in the air with an initial velocity of 30 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches?

Answer 1

Maximum height occurs where H '(t) = 0 and H ''(t) < 0.
H(t) = -16t^2 + 30t + 0
H '(t) = -32t + 30
0 = -32t + 30
t = 30/32 = 15/16
H ''(t) = -32 < 0 so H(15/16) is a maximum.
H(15/16) = -16(15/16)^2 + 30(15/16) + 0 = -225/16 + 450/16 = 225/16 feet

Answer 2

@doubledrive u copy and paste this from yahoo answers didn't u -.-

Answer 3

did it help u??

Answer 4

yeah

Answer 5

thx

Answer 6

lol, ur welcoke