I'm stuck on a problem:
Suppose a person standing on the top of a building of $160$ft high throws a ball directly upward with initial speed of $48$ ft/sec. When does the ball hit the ground, and how long did the ball travel during its flight?
So I found the position function is $-16t^2+48t+160$. The time I found is $5$ seconds for it to hit the ground.
how do i find the distance it traveled over its flight?
UPDATE: With the help of the two people in the comments:
So the vertex is $t=-b/2a$, so it's $\frac{-48}{-32}$ so it is $t=1.5$? and then at $t=1.5,$ $p(t)$ is $196$. So it's $196+196-160$ so it's $232$!