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 -16t² + vt + h. Find the height of the ball after 2 seconds if it waskicked from the top of a 60 foot tall hill at 84 feet per second.O 196 4tO 42 ftO 60 ftO 164 ft

Answer 1

In order to calculate the height of the ball, let's use t = 2, h = 60 and v = 84. Then, we calculate the value of the polynomial:

`\begin{gathered} -16t^2+vt+h \\ =-16\cdot2^2+84\cdot2+60 \\ =-64+168+60 \\ =164 \end{gathered}`

Therefore the height after 2 seconds is 164 feet. Correct option: fourth one.