Question

Please help, will give medal!
David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t) = -16t2 + vt + s, what is the maximum height the soccer ball reaches?

17.9 feet
18.2 feet
18.7 feet
19.1 feet

Answer 1

@Loser66

Answer 2

What do you need? answer or logic?

Answer 3

both

Answer 4

for right now you can just give me the answer

Answer 5

if the ball is kicked from the ground then s =0, right? with v = 35, your equation is
H(t) = -16t^2 +35t
hence the maximum value is the vertex of the graph
we find t-coordinate by \(t=\dfrac{-b}{2a}=\dfrac{-35}{2*(-16)}=1.0937\)
replace that t into the function to find \( H(t) =-16 (1.0937^2+35*(1.0937)= 19.1\)