Question

Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet,and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of thehill after t seconds is given by the polynomial -16 + vt + h. Find the height of the ball after 2 seconds if it waskicked from the top of a 20 foot tall hill at 72 feet per second.O 100 ftO 32 ftO 20 ftO 132 ft

Answer 1

we have the equation

`f(t)=-16t^2+vt+h`

given values

t=2 sec

v=72 ft/sec

h=20 ft

substitute given values

`\begin{gathered} f(t)=-16(2)^2+72\cdot2+20 \\ f(t)=100\text{ ft} \end{gathered}`

therefore

the answer is the first option