Answer:
The catcher has less than 5 seconds to get the ball
Step-by-step explanation:
we have
[tex]f(x)=80t-16t^{2} +3.5[/tex]
This is a vertical parabola open down
we know that
The ball hit the ground when f(x)=0 -----> x-intercept of the function
Remember that the x-intercept of the function is the value of x when the value of the function is equal to zero
so
using a graphing tool
The x-intercept is for t=5 sec
see the attached figure
therefore
The catcher has less than 5 seconds to get the ball
