The chs baseball team wasn’t on the field and the batter popped the ball up. the equation b(t)= 80t-16t^2+3.5 represents the height of the ball above the ground in feet as a function of time in seconds. how long will the catcher have to get in position to catch the ball before it hits the ground? round to the nearest second

The given function is

Rearranging it we get

Now when the ball hits the ground

Height b(t) becomes 0.

So we have

Comparing with

We get

a=-16, b=80 & c = 3.5

Substituting in the quadratic formula we get

OR

But the time cannot be negative

So t = 5.04 seconds

Rounding to the nearest second we get

t = 5 seconds

hope this is what you were asking for!

step-by-step explanation: