Question

Tiffany kicks a soccer ball off the ground and in the air, with an initial velocity of 28 feet per second. Using the formula H(t) = -16t2 + vt + s, what is the maximum height the soccer ball reaches?

15.6 feet
14.1 feet
13.5 feet
12.3 feet

Answer 1

12.3 feet

Answer 2

first put 28 for v
\(h(t)=-16t^2+28+0\)

Answer 3

I think it is 12.3 feet

Answer 4

yea it's 12.3

Answer 5

Initial height is 0, we can take the derivative \[h'(t) = -32t+28 \] set it equal to 0 to find the time, so we get \[t = 0.875s\] now we can plug it into the original equation, that will give you the maximum height.

Answer 6

uh-oh