Question

The height in feet of a soccer ball kicked upward from the ground with initial velocity 60 feet per second is modeled by h=-16t^2 + 60t, where t is the time in seconds. Find the time it takes for the ball to return to the ground. find the time it takes for the ball to return to the ground. (using the method of square root)

Answer 1

ANSWER

t = 3.75 secs

EXPLANATION

Given:

h = -16t^2 + 60t

Desired Outcome:

time t.

Determine time 't' when the height is 0

$\begin{gathered} 0\text{ = -16t}^2+60t \\ 16t^2-60t\text{ = 0} \\ t(16t\text{ - 60\rparen = 0} \\ t\text{ = 0, or} \\ 16t\text{ = 60} \\ t\text{ = }\frac{60}{16} \\ t\text{ = 3.75} \end{gathered}$

Hence, the time it takes for the ball to return to the ground is 3.75 seconds.